{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "7ae58429",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'genlik')"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import scipy.io.wavfile \n",
    "import scipy.signal\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "sampleRate, data = scipy.io.wavfile.read(r'C:\\Users\\EFE\\Downloads\\ecg.wav')\n",
    "times = np.arange(len(data))/sampleRate\n",
    "plt.figure(figsize=(12,4))\n",
    "plt.plot(times, data)\n",
    "plt.title(\"orijinal ecg sinyali\")\n",
    "plt.xlabel(\"zaman\")\n",
    "plt.ylabel(\"genlik\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "dfe7091f",
   "metadata": {},
   "outputs": [],
   "source": [
    "def frekans_cevabi_cizdir (x_n, fs, frekans_nokta_sayisi=500):\n",
    " X_f = np.fft.fft(x_n, frekans_nokta_sayisi*2)\n",
    " X_f = X_f[:frekans_nokta_sayisi]\n",
    " f_ax = np.linspace(0, fs//2, frekans_nokta_sayisi)\n",
    "\n",
    " genlik_w= np.abs (X_f)\n",
    " faz_w= np.unwrap(np.angle(X_f))\n",
    "\n",
    " plt.figure(figsize=(12,3))\n",
    "    \n",
    " plt.subplot(1,2,1)\n",
    " plt.title('Genlik spektrumu')\n",
    " plt.plot(f_ax,genlik_w, 'b')\n",
    " plt.ylabel('|X(f) |')\n",
    " plt.xlabel('frekans [Hz]')\n",
    " plt.grid()\n",
    "           \n",
    " plt.subplot(1,2,2)\n",
    " plt.title('Faz spektrumu')\n",
    " plt.plot(f_ax, faz_w, 'g')\n",
    " plt.ylabel('faz(X(f)) (radyan)') \n",
    " plt.xlabel('frekans [Hz]')\n",
    " plt.grid()\n",
    " plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "7ac9a5aa",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "frekans_cevabi_cizdir(data,sampleRate)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "5180d9f1",
   "metadata": {},
   "outputs": [],
   "source": [
    "data_mean_corrected = data-np.mean(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "b6b021bc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "frekans_cevabi_cizdir(data_mean_corrected,sampleRate)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "30bb2681",
   "metadata": {},
   "outputs": [],
   "source": [
    "f_c = np.array([49,51]) \n",
    "f_max= sampleRate / 2\n",
    "f_norm=f_c / f_max \n",
    "b, a = scipy.signal.butter (3, f_norm, btype='bandstop')\n",
    "filtered = scipy.signal.filtfilt(b, a, data_mean_corrected )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "b91d77a5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "frekans_cevabi_cizdir(filtered,sampleRate)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "682bf791",
   "metadata": {},
   "source": [
    "## Low pass, high pass, band pass filter"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "118453b8",
   "metadata": {},
   "outputs": [],
   "source": [
    "b, a = scipy.signal.butter(3, 0.05, 'lowpass')\n",
    "filteredLowPass = scipy.signal.filtfilt(b, a, data)\n",
    "\n",
    "b, a = scipy.signal.butter(3, 0.05, 'highpass')\n",
    "filteredHighPass = scipy.signal.filtfilt(b, a, data)\n",
    "\n",
    "b, a = scipy.signal.butter(3, [.01, .05], 'band')\n",
    "filteredBandPass = scipy.signal.lfilter(b, a, data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "9ed0f4e5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12, 6))\n",
    "\n",
    "plt.subplot(221)\n",
    "plt.plot(times, data)\n",
    "plt.title(\"Original ECG Signal\")\n",
    "plt.xlabel(\"Time\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "\n",
    "plt.subplot(222)\n",
    "plt.plot(times, filteredLowPass)\n",
    "plt.title(\"Lowpass Filtered ECG Signal\")\n",
    "plt.xlabel(\"Time\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "\n",
    "plt.subplot(223)\n",
    "plt.plot(times, filteredHighPass)\n",
    "plt.title(\"Highpass Filtered ECG Signal\")\n",
    "plt.xlabel(\"Time\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "\n",
    "plt.subplot(224)\n",
    "plt.plot(times, filteredBandPass)\n",
    "plt.title(\"Bandpass Filtered ECG Signal\")\n",
    "plt.xlabel(\"Time\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "9dfea993",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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64tjMzKrbuLpxLo7NrGJUfXHsaRVmZtWtoa7Bq1WYWcXIRXFsZmbVq2FEMq0iPNJhZhUgF8Wx+1Mzs+rVUNfAW+veYvma5VmHYmaWl+LYw8dmZtXKy7mZWSXJSXGcdRRmZtZTLo7NrJLkojg2M7Pq5UdIm1klyUVx7JFjM7PqNW5EUhx75NjMKkFOimMPH5uZVau6wXXUDapzcWxmFcGPjzYzqzCSDgCOBw4CxgGrgJnALcAVEbEsw/DKwk/JM7NKkYuRYzOzvJB0G/BZ4HbgcJLieHfg68AQ4EZJR2UXYXm4ODazSpGL4tgjx2aWI5+OiJMiYnpELIqI1ohoiYjHIuKHEdEE3NeTE0v6hKRZkjZImrLZtrMkzZH0jKTDSpFId/gR0mZWKXJSHHv42MzyISJeK8U+HZgJ/B/gz4WNknYHjgH2IBmtvlhSbQ+v0SMNI5JHSPspeWaWtZwUx1lHYWZWWpL+j6TnJC2TtFzSCkm9eoRcRMyOiGfa2XQ0cHVErImIucAcYN/eXKu7GuoaWN26mqWrl/blZc3MtpCLG/LMzHLo+8BHImJ2H1yrEXig4POCtG0LkqYCUwHq6+tpbm7u9sVaWlq2OO7NJW8CcMP/3sCk4ZO6fc5K0V5ueZLn/PKcG+Q7v1Lnlovi2CPHZpZDr/SkMJZ0FzC2nU3nRMSNHR3WTlu7PWtETAOmAUyZMiWampq6GyLNzc1sflztvFrOnX0u43cdT9NO3T9npWgvtzzJc355zg3ynV+pc8tJcezhYzPLnUck/R64AVjT1hgR13V2UEQc2oNrLQC2L/g8HujTu+P8CGkzqxQ5KY6zjsLMrORGAm8BHypoC6DT4riHpgNXSboAaAAmAw+V4TodanuEtItjM8taLopjM7O8iYjPlPqckj4G/BTYFrhF0oyIOCwiZkm6BngKaAW+EBHrS339zgwbOIxRg0exuGVxX17WzGwLuSiOPXJsZnkjaQhwEsnyakPa2iPixJ6eMyKuB67vYNt5wHk9PXcp+EEgZlYJcrKUm4ePzSx3fktyY91hwL0k84BXZBpRmbk4NrNKUNbiWNJoSddKelrSbEkHlP4aHjk2s1x6R0R8A1gZEZcDHwb+IeOYysrFsZlVgnJPq/gJ8KeI+LikQcCwUl/Ac47NLKfWpT+XStoTeBmYmF045ddWHEcEcuduZhkp28ixpJHA+4FfAUTE2ohYWvrreOTYzHJpmqStgG+QrCbxFPC9bEMqr3EjxrFuwzpeX/V61qGYWT9WzpHjHYFXgcskvQt4FDg1IlYW7tTbpy29+ururF8/zE99qVJ5zs+5Va8Kye+ydMWIe0n609xrW+t44fKFjBk2JuNozKy/KmdxPADYG/hSRDwo6SfAmSSjIBv19mlLP/85PP/8W37qS5XKc37OrXpVSH5zJF1LUiQ/lXUwfWH8yPEALFyxkHeNfVfG0ZhZf1XOG/IWAAsi4sH087UkxXJJeVqFmeXUO4FngV9KekDS1HS6Wm41jmwEkpFjM7OslK04joiXgfmSdkmbPkgyZ66kXBybWR5FxIqIuCQiDgTOAL4FLJZ0uaR3ZBxeWYwbMQ4hFq5wcWxm2Sn3ahVfAq5MV6p4ASjDE5+8zrGZ5Y+kWpLl2z5DskrFD4ErgYOAW4GdMwuuTAbWDmS74dt55NjMMlXW4jgiZgBTynkNr/ZjZjn1HHAP8IOIuK+g/VpJ788oprJrHNnokWMzy5QfH21mVpneGREt7W2IiFP6Opi+0ljXyLxl87IOw8z6MRfHZmYVRNJPgUjfb7G9N4WxpB8AHwHWAs8Dn2lbf17SWcBJwHrglIi4vafX6Y3Gukbum39f1zuamZVJWR8f3Rc859jMcuYRknXhh5Cs8PNc+tqLpHDtjTuBPSOibSWMswAk7Q4cA+wBHA5cnM557nONIxt5fdXrrG5dncXlzczyURybmeVFRFweEZcDk4GDI+KnEfFTkhV/9urlue+IiNb04wPA+PT90cDVEbEmIuYCc4B9e3OtnmqsS5ZzW7RiURaXNzPLR3HsaRVmlkMNQF3B5xFpW6mcCNyWvm8E5hdsW5C29TmvdWxmWfOcYzOzynQ+8HdJ96SfPwB8u6uDJN0FjG1n0zkRcWO6zzlAK8nScADtfQfXbs8qaSowFaC+vr5Hj9nu7PHcC1cmRfGdD97J+rm9nUXS9yrk0eNlk+f88pwb5Du/UueWk+LYcyvMLF8i4jJJtwH7pU1npg9X6uq4QzvbLukE4EjggxEbhxYWANsX7DYeaHdeQ0RMA6YBTJkyJXrymO3OHs+91+q9OPGRExk1fhRNB3b/3FmrkEePl02e88tzbpDv/EqdWy6mVZiZ5dQaYDHwJrBzb9c3lnQ48DXgqIh4q2DTdOAYSYMlTSKZ7/xQb67VU6MGj2LYwGFe69jMMlP1I8fgaRVmlj+SPgucSjKKOwPYH7gfOKQXp/0ZMBi4M10m7oGIODkiZkm6BniKZLrFFyIikzkNkmis84NAzCw7nRbHkubSwbyztl3S7T+OiAtLGVixPOfYzHLqVOA9JAXswZJ2Bb7TmxNGxDs62XYecF5vzl8qjSMbfUOemWWm0+I4Iib1VSA95WkVZpZTqyNitSQkDY6IpyXtknVQfaGxrpG/zf9b1mGYWT9V9dMqfEOemeXUAkmjgRtIpkG8SQc3yeVNY10ji1YsIiLafUqgmVk55aI4NjPLm4j4WPr22+lybqOAP2UYUp9pHNnI2vVree2t19h2+LZZh2Nm/UwuVqvwnGMzyxNJNZJmtn2OiHsjYnpErM0yrr7S9pS8BcsXZByJmfVHLo7NzCpMRGwAHpc0IetYsrDxKXlescLMMtDltApJ44FjgINIHl26CpgJ3ALclnbimfGcYzPLqXHALEkPASvbGiPiqOxC6httI8descLMstDVUm6XAY3AzcD3gCXAEGBn4HDgHElnRsSfyx1oxzFmdWUzs7Lq1bJt1WzsiLEIeeTYzDLR1cjxDyNiZjvtM4HrJA0CMv3az9MqzCxPJCkS93a1T1/G1ZcG1g6kfkS9R47NLBNdzTn+CYCk77W3MSLWRsSckkfVDS6OzSxn7pH0pc3nG0saJOkQSZcDJ2QUW5/xU/LMLCtdjRyPk/QB4ChJV5M8EW+jiHisbJEVyXOOzSxnDgdOBH4naRKwlGQ6Wy1wB/CjiJiRWXR9pHFkIy+8+ULWYZhZP9RVcfxN4ExgPPBDNi2OAzikTHEVzXOOzSxPImI1cDFwsaSBwBhgVUQszTSwPja+bjx/mfeXrMMws36oq8dHXwtcK+kbEXFuH8XULZ5WYWZ5FRHrgMVZx5GFxpGNvLn6TVatW8XQgUOzDsfM+pFO5xxLmgjQUWGsxPgyxFU0F8dmZsWRdK6kJyTNkHSHpIaCbWdJmiPpGUmHZRknFCzn5nnHZtbHuroh7weS/ijpXyTtIWk7SRPSm0LOBf4G7NYHcXbIc47NzIr2g4h4Z0TsRbJE5zcBJO1Osp79HiRzni+WVJtZlBQ8CMQrVphZH+tqWsUn0k7zOJIbRMYBbwGzgVuB89L5cR1KO9hHgIURcWRJot7k/KU+o5lZ5ZA0HFgdEet7e66IWF7wcTjJvSMARwNXR8QaYK6kOcC+wP29vWZPeeTYzLLS5RPyIuIp4JxeXONUkmJ6ZC/O0SFPqzCzPJFUQzKKexzwHmANMFjSqySDEtMi4rlenP884F+AZcDBaXMj8EDBbgvStsx45NjMstLVE/JOA368+YiFpG2A70fESV0cPx74MHAe8NVextrBNVwcm1mu3APcBZwFzIyIDQCStiYpZs+XdH1EXNHewZLuAsa2s+mciLgxIs4hebrpWcAXgW+x2TKdqXZ7VklTgakA9fX1NDc3dyc3AFpaWoo6bmjtUB6c/SDN67p/jawUm1u1ynN+ec4N8p1fqXPrauR4F+BRSV+IiL8BSPo8cAbw4yLO/+N037pexNgpzzk2s5w5NF2lYhMR8QbwR+CP6RJv7YqIQ4u8zlXALSTF8QJg+4Jt44FFHZx/GjANYMqUKdHU1FTk5d7W3NxMMcdNmDkBjVJR+1aKYnOrVnnOL8+5Qb7zK3VuXc05nirpQOBnkmYBuwLPAQdERKfLC0k6ElgSEY9Kaupkv16NQsyfvyMRjf7XUJXKc37OrXplmV9hYSxpK6ABWAW82DaK3F7xXAxJkwumZBwFPJ2+nw5cJemC9HqTgYd6lkHpNI5s9LQKM+tzXc45BmYCD5PcwSzgtK4K49R7SZ6sdwTJ051GSroiIo4v3Km3oxC33w6wwf8aqlJ5zs+5Va8s85M0CvgCcCwwCHiVpA+tl/QAcHFE3NPD058vaRdgAzAPOBkgImZJugZ4CmgFvlCKGwB7q7GukXvn3Zt1GGbWz3Q15/h44LvAL4CdgHcBF0l6Fjg9IpZ0dGxEnEUyZ4505Pj0zQvjUvCcYzPLmWuB3wAHbf5UPEn7AJ+WtGNE/Kq7J46If+5k23kk94dUjMa6RhatWMSG2ECNulp51MysNLoaOf4EcHBEzEs/PyrpAJLRhgeAHcsZXDE859jMcuY7EfFXSYM33xARjwKPZhBTJhpHNtK6oZVXV75K/Yj6rMMxs36i03+KR8TRBYVxW1tExP8A+xV7kYhoLscax+B1js0sd36S/sxsjeFK4bWOzSwLXU2rmFDk9qWbLS7fZzytwsxyZp2ky4BGSRduvjEiTskgpkwUrnW897i9M47GzPqLrqZVXE6y1mVn47MB/Jpkjlyf87QKM8uZI4FDgUPoR1Mo2uORYzPLQldLuR3c2fZK4GkVZpYnEfEacLWk2RHxeNbxZKl+RD01qmHB8gVZh2Jm/UjV3/7bVhx7aoWZ5YGkr0vauqPCWNIh6TryuTegZgBjR4z1yLGZ9ali1jmuaIXFsUeRzSwHngRukrQaeIy31zmeDOxF8mjp/8osuj7WWOcHgZhZ38pVcWxmVu0i4kbgRkmTSR6mNA5YDlwBTI2IVVnG19caRzby7OvPZh2GmfUjLo7NzCqIpJqI2JA+5vm5zbaNJnmUdL/RWNfIPXN7+kBAM7Pu85xjM7PK8oikLdaRl/RZkmkW/UpjXSPL1ixj5dqVWYdiZv2Ei2Mzs8pyCjBN0iWStpb0bkn3A4cB7884tj63ca1j35RnZn3ExbGZWQWJiL8CewOvAM8D04FvRcQnIqLfrWm2ca1j35RnZn3ExbGZWeX5BHAs8D/AYuBTkrYu1cklnS4pJI0paDtL0hxJz0g6rFTX6i2PHJtZX3NxbGZWQSTdBRwHHBoRZwP7ATOAhyVNLcH5twf+EXipoG134BhgD+Bw4GJJtb29Vil45NjM+pqLYzOzynJRRHwkIuYCROKnJMu6faAE5/8RcAZQ2GseDVwdEWvS684B9i3BtXqtbnAdIweP9MixmfUZF8dmZhUkIq7voP3liDiuN+eWdBSwsJ2n7zUC8ws+L0jbKkJjXaOLYzPrM1W/znEbF8dmlgeSbgKmAX+KiHWbbdsR+FfgxYi4tIPj7wLGtrPpHOBs4EPtHdZOW7u9ajq1YypAfX09zc3N7ebRmZaWlm4dN6x1GLMXzO7Rtfpad3OrNnnOL8+5Qb7zK3VuVV8ce+TYzHLmc8BXgR9LeoO3Hx89kWT1ip+lT9FrV0Qc2l67pH8AJgGPK+k4xwOPSdqXZKR4+4LdxwOLOjj/NJLinSlTpkRTU1M3Uks0NzfTneP2XLond8+9u1vHZKW7uVWbPOeX59wg3/mVOjcXx2ZmFSQiXiaZE3yGpIkkj49eBTwbEW/14rxPAtu1fZb0IjAlIl6TNB24StIFQAMwGXiox0mUWGNdI4tXLGb9hvXU1lTEfYJmlmO5mXNsZpYnkr4BtEbE/RExIyLeKsVqFe2JiFnANcBTwJ+AL0TE+nJcqycaRzayPtazZOWSrEMxs34gN8WxR47NLGe+BNwh6eCCtpNLdfKImBgRrxV8Pi8idoqIXSLitlJdpxTalnNbsLzfPQPFzDLg4tjMrDItJFlz+HxJ/5G29cvvyrYflUyHnr98fhd7mpn1notjM7MKFREvkaxtvLukPwBDMw4pExNGTQBg/jIXx2ZWfi6Ozcwq0yMAEbE6Ij4DNAODMo0oI9sM3YahA4by0rKXut7ZzKyXXBybmVWgiPjcZp8viogds4onS5KYMGoCLy13cWxm5eel3MzMKpCkycD/A3YnWecYkqdJ75RdVNkZP3K8b8gzsz7hkWMzs8p0GfA/QCtwMPAb4IpMI8rQuLpxvNzyctZhmFk/ULbiWNL2ku6RNFvSLEmnluc6yU8Xx2aWM0Mj4m5AETEvIr4NHJJxTJkZO3wsL7e8TLizN7MyK+e0ilbgtIh4TFId8KikOyPiqVJexMWxmeXUakk1wHOSvkiytNt2XRyTW2NHjGV162qWrVnG6CGjsw7HzHKsbCPHEbE4Ih5L368AZgONpb6Oi2Mzy6kvA8OAU4B9gOOBE7IMKEvj6sYBeGqFmZVdn9yQJ2ki8G7gwXa2TQWmAtTX19Pc3Nytcz/3XAOwM3/7231ss83aXsdaaVpaWrr9O6kmec7PuVWvLPOT9NuI+DRwYEQ8DLQAn8kkmAoydsRYICmOdx2za8bRmFmelb04ljQC+CPw5YhYvvn2iJgGTAOYMmVKNDU1dev8zzyT/DzggANpaOhlsBWoubmZ7v5Oqkme83Nu1Svj/PaRtANwoqTfsNlT8SLijWzCylZDXdLBL1y+MONIzCzvylocSxpIUhhfGRHXlecayU9PqzCznPg58CdgR+BRNi2OI23vd7YfmTxCet6yeRlHYmZ5V87VKgT8CpgdEReU7zrJTxfHZpYHEXFhROwGXBoRO0bEpIJXrwpjSd+WtFDSjPR1RMG2syTNkfSMpMN6nUiJDR80nDHDxjBvqYtjMyuvco4cvxf4NPCkpBlp29kRcWspL+Li2MzyKCL+vUyn/lFE/Hdhg6TdgWOAPYAG4C5JO0fE+jLF0CM7jNrBI8dmVnZlK44j4q9sNleuHFwcm5n12tHA1RGxBpgraQ6wL3B/tmFtasKoCcx+bXbWYZhZzvkJeWZm/csXJT0h6VJJW6VtjcD8gn0WUIalN3tr+5Hbs2jFoqzDMLOc65Ol3MrJxbGZ2dsk3QWMbWfTOSSPoz6X5Ma+c4EfAifS/rd87faqvV1+E3q+VN7qV1ezfM1ybrv7NobWDu328X3ByxxWrzznBvnOr9S5uTg2M8uRiDi0mP0kXQLcnH5cAGxfsHk80O4QbW+X34SeL5U3//H5TJs7jXfs9Q4mbzO528f3BS9zWL3ynBvkO79S5+ZpFWZm/YSkcQUfPwbMTN9PB46RNFjSJGAy8FBfx9eVtrWOPbXCzMrJI8dmZv3H9yXtRTJl4kXg3wAiYpaka4CngFbgC5W2UgUUPAhkhR8EYmbl4+LYzKyfSB9L3dG284Dz+jCcbvPIsZn1BU+rMDOzqjBy8EiGDRzm4tjMysrFsZmZVQVJNNQ1sHDFQlauXZl1OGaWUy6OzcysajTUNXDNrGsY8f9G8OrKV7MOx8xyyMWxmZlVjbZ5xwDPvv5shpGYWV65ODYzs6rRMOLt4njesnkZRmJmeeXi2MzMqsbE0RM3vn/+jeezC8TMcsvFsZmZVY2dtt5p4/sXlr6QYSRmllcujs3MrGrsuNWOG98vXO6HgZhZ6bk4NjOzqlE4rWJxy+LsAjGz3HJxbGZmVWPIgCH86qhf0TSxicUrXBybWem5ODYzs6py4rtP5OCJB/P6qtdZu35t1uGYWc64ODYzs6ozbsQ4AF5ueTnjSMwsb6q+OG7j4tjMrGuSviTpGUmzJH2/oP0sSXPSbYdlGWMxxtUlxbGnVphZqQ3IOoDe8sixmVlxJB0MHA28MyLWSNoubd8dOAbYA2gA7pK0c0Sszy7azrU9KW/RikUZR2JmeePi2Mys//h34PyIWAMQEUvS9qOBq9P2uZLmAPsC92cTZtfaplV4xQqzTUUErRtaWR/rWb9h/cafy9Yt4+WWlzdpa/vZ3v7rI23Pcv8iz7NbzW400VSy32GuiuMI+NjH4Nhj4VOfyjYuM7MKtDNwkKTzgNXA6RHxMNAIPFCw34K0rWJtN3w7alTjaRU5ExGZFWKzFs/i2UefLc35exhnKXINOhktvK/v/rfsjBADagZQW1NLrWo3+TmgZsAWbbWq7XT/UstNcdzSAjXpDOobb4RPfhIefxze9a639zEzyztJdwFj29l0DkmfvxWwP/Ae4BpJOwLt9ZLt/oWVNBWYClBfX09zc3O3Y2xpaenRcZsbPXA0//mX/+SC+y7grF3P4oBtDgCgVrW9PndPdZbbxsKvk9cGNnS5z8Z9Y8PGY9reF25rO9fG/Qr2Kdy2sZ31W7QVbtsQG1i7bi16UltcozfXLYy/08KuLzzb9S5C1KiGGmqoVS01evtnYdvGdmo63Kdwe41qGKABDNbgt9tq3j62lrfPW6Maaqnd5FpdxdO6tpWhQ4ZuEc8WMXayfWMsRbZ19PtQiQuzUvUpbXJTHP/975u2txXKp5wCP/whDKj6TM3MuhYRh3a0TdK/A9dFRAAPSdoAjCEZKd6+YNfxQLuTeSNiGjANYMqUKdHU1NTtGJubm+nJcZub+OxE3lj8Bm+tf4tvzPoGAINrB3PRERexdPVSVqxdwbbDtmXt+rUMGziMVa2raN3QyprWNcx6dRbbDd8OgNWtq9kQG4gI1m1Yl7zWb/mzdUNrh6+20b23Vr1FzcCadvfZEBt6nXMpbT5SVzgy1/a+cBRvQM0AVrWuYvSw0dTW1DJIgzrcr93z9WBksJSji13t/9CDD/G+A9/X6f61NUmhV41K9f+7SlTq3MpaMko6HPgJUAv8MiLOL/01kp9f/Wry88MfhkcegVdeST5feCFccgkceih8+cvQ1PR24Wxm1s/cABwCNEvaGRgEvAZMB66SdAHJDXmTgYeyCrJYE0dP5LHFj23Stmb9Gj5702e7PHbroVuzpnUNtTW1DBkwZONo88DagQysGcjA2oEMqh208f3AmoEMqBnA0IFDNyn+Nn8teWUJExonbNLW0b4dvdqKsy3aC87TVRHbVbFbo56N3uW5wJo3ZB6NIyt6NpH1kbIVx5JqgYuAfyQZlXhY0vSIeKqU12lo2PTzTTclBfOyZbB6Nfz619DcnLTfdBOMGJEUyB/9KBx1FIwZ42kXZtZvXApcKmkmsBY4IR1FniXpGuApoBX4QiWvVNFml2122aJt0uhJfGX/r7C4ZTG7b7s7e4/bm8G1gzcWu4NqB1GrWuoG15VlBDDPxaNZf1HOkeN9gTkR8QKApKtJ7oguaXG8114wcuQ6li8fyEMPvV3ojhqVvL72teT15z/D3XfDggVw1VVw883JfmPHwm67JUX2ttvCNtvA4MHJ6HLhS9q0iG57315bMe+L2Rfg6afH8sIL3fqV9Lne/OPi6afHMndu6WLpjnL/o+jpp8fy4oulPWel/ENu9ux65s0rbt9Kibk7BgwYknUIZRERa4HjO9h2HnBe30bUO9sM3QaAI3c+kmlHTuOW527hpHefVPL5jGbWv5SzOG4E5hd8XgDst/lOpbi54xe/WMOwYcNZubKVzg4/+ODk57HHipkzR/HMM3XMmjWSefOG8uSTA3n99UFEVFqnumvWAZRZnvPLc267ZR1AWZ122mAaGpqzDsO6cMikQwA4eZ+TGVc3js/u3fV0CjOzrpSzOC7q7ufS3dzxvm4dc+hmt6xEwIYNsG4drF+fvN/8Vbhv4c/uvi9m3zb3338/BxxwQHFJZaC360tnlV9frIv9wAMPsP/++5fsfJW0lnexuVVSzN3x9NMt/mq8Crx73LtZefZKhg0clnUoZpYj5SyOi777uRJIUFubvCrJCy+sYcKErKMon7lz17DDDllHUR4vvriaiROzjqI85s1bzaRJWUdRPi+9VPHTbS3lwtjMSq2c6zY8DEyWNEnSIJJHk04v4/XMzMzMzHqlbCPHEdEq6YvA7SRLuV0aEbPKdT0zMzMzs94q6zrHEXErcGs5r2FmZmZmVip+HIaZmZmZWcrFsZmZmZlZSlFBay1JehUo8tECmxhD8gjUPMpzbpDv/Jxb9epJfjtExLblCKZSuc9uV55zg3znl+fcIN/59TS3dvvtiiqOe0rSIxExJes4yiHPuUG+83Nu1Svv+WUtz7/fPOcG+c4vz7lBvvMrdW6eVmFmZmZmlnJxbGZmZmaWyktxPC3rAMooz7lBvvNzbtUr7/llLc+/3zznBvnOL8+5Qb7zK2luuZhzbGZmZmZWCnkZOTYzMzMz67WqLo4lHS7pGUlzJJ2ZdTw9IelSSUskzSxo21rSnZKeS39uVbDtrDTfZyQdlk3UxZG0vaR7JM2WNEvSqWl71ecnaYikhyQ9nub2nbS96nNrI6lW0t8l3Zx+zlNuL0p6UtIMSY+kbbnJr5JVe7/tPrs683OfXfW59W2fHRFV+QJqgeeBHYFBwOPA7lnH1YM83g/sDcwsaPs+cGb6/kzge+n73dM8BwOT0vxrs86hk9zGAXun7+uAZ9Mcqj4/QMCI9P1A4EFg/zzkVpDjV4GrgJvz9N9lGvOLwJjN2nKTX6W+8tBvu8+uzvzcZ1d9bn3aZ1fzyPG+wJyIeCEi1gJXA0dnHFO3RcSfgTc2az4auDx9fznw0YL2qyNiTUTMBeaQ/B4qUkQsjojH0vcrgNlAIznILxIt6ceB6SvIQW4AksYDHwZ+WdCci9w6kff8KkHV99vus6szP/fZ1ZtbJ8qWXzUXx43A/ILPC9K2PKiPiMWQdFbAdml71eYsaSLwbpJ/reciv/QrrBnAEuDOiMhNbsCPgTOADQVteckNkj+Kd0h6VNLUtC1P+VWqvP4uc/ffjvvs6soN99klzW9AL4PNktppy/vSG1WZs6QRwB+BL0fEcqm9NJJd22mr2PwiYj2wl6TRwPWS9uxk96rJTdKRwJKIeFRSUzGHtNNWkbkVeG9ELJK0HXCnpKc72bca86tU/e13WZX5us8Gqig399lb6HV+1TxyvADYvuDzeGBRRrGU2iuSxgGkP5ek7VWXs6SBJJ3slRFxXdqcm/wAImIp0AwcTj5yey9wlKQXSb72PkTSFeQjNwAiYlH6cwlwPclXbrnJr4Ll9XeZm/923GdXZW7us0ucXzUXxw8DkyVNkjQIOAaYnnFMpTIdOCF9fwJwY0H7MZIGS5oETAYeyiC+oigZbvgVMDsiLijYVPX5Sdo2HX1A0lDgUOBpcpBbRJwVEeMjYiLJ/6/+NyKOJwe5AUgaLqmu7T3wIWAmOcmvwuW1387Ffzvus6szN/fZQKnzK9edhX3xAo4guZv2eeCcrOPpYQ6/AxYD60j+tXMSsA1wN/Bc+nPrgv3PSfN9BvinrOPvIrf3kXyV8QQwI30dkYf8gHcCf09zmwl8M22v+tw2y7OJt+98zkVuJCslPJ6+ZrX1HXnJr9Jf1d5vu8+uzvzcZ1dvbln02X5CnpmZmZlZqpqnVZiZmZmZlZSLYzMzMzOzlItjMzMzM7OUi2MzMzMzs5SLYzMzMzOzlItjMzMzM7OUi2PLhKRTJM2WdGU3jvm2pNPLGVfBtdZLmiGpIf38oqQxBdubJN3cyfEHSXpK0sy+iNfMrJzcZ1t/MiDrAKzf+jzJwtxzCxslDYiI1oxiKrQqIvbq6cER8RdJRwAddsZmZlXEfbb1Gx45tj4n6eckT7yZLukr6ejCNEl3AL9JH/P5R0kPp6/3tnOOz0m6TdJQSd9M95uZnkfpPs2SvifpIUnPSjoobd8jbZsh6QlJk3uZz63puWZIWibphK6PMjOrDu6zrb/xyLH1uYg4WdLhwMER8ZqkbwP7AO+LiFWSrgJ+FBF/lTQBuB3Yre14SV8kebb6RyNijaSfRcR3022/BY4Ebkp3HxAR+6YjAt8CDgVOBn4SEVdKGgTUFhn6PZLWp+9HAE+n+RyRXnsf4DLghh78WszMKpL7bOtvXBxbpZgeEavS94cCu6eDCQAjJdWl7z8NLCDpZNelbQdLOgMYBmxN8uz1to72uvTno8DE9P39wDmSxgPXRcRzRcZ4cES8Bsn8NWDjXLp0bttvgU9GxLIiz2dmVq3cZ1tueVqFVYqVBe9rgAMiYq/01RgRK9JtM0k6zPEAkoYAFwMfj4h/AC4BhhSca036cz3pPwYj4irgKGAVcLukQ3oTuKRa4GrguxHhmznMrD9wn2255eLYKtEdwBfbPkjaq2Db34F/I5n71sDbneprkkYAH+/q5JJ2BF6IiAuB6cA7exnv+cATEXF1L89jZlaN3Gdbrrg4tkp0CjAlvfHiKZL5ZhtFxF9Jvh67hWRk4RLgSZJ5Yw8Xcf5PATMlzQB2BX7Ty3hPBz5UcIPHUb08n5lZNXGfbbmiiMg6BrOKI6klIkb08hwTgZsjYs/SRGVmZu1xn22l5JFjs/YtV8GC8t2VLkF0E/BaacMyM7N2uM+2kvHIsZmZmZlZyiPHZmZmZmYpF8dmZmZmZikXx2ZmZmZmKRfHZmZmZmYpF8dmZmZmZqn/D11hpaLDA5IKAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 864x216 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "frekans_cevabi_cizdir(filteredLowPass,sampleRate)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "afdcb4c8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "frekans_cevabi_cizdir(filteredHighPass,sampleRate)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "57e77d3a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "frekans_cevabi_cizdir(filteredBandPass,sampleRate)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "b35dd247",
   "metadata": {},
   "outputs": [],
   "source": [
    "# FIR filtre tasarımı için gerekli kütüphane\n",
    "from scipy.signal import firwin\n",
    "\n",
    "# FIR filtre tasarım parametreleri\n",
    "bant_genisligi = 0.1  # Bant genişliği (0-1 arasında bir değer)\n",
    "\n",
    "# FIR filtre katsayılarını tasarla\n",
    "filtre_sira = 101  # FIR filtre sırası (tek sayı olmalı)\n",
    "fir_katsayilari = firwin(filtre_sira, bant_genisligi)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "884032c7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Filtreleme işlemi\n",
    "filtrelenmis_sinyal = np.convolve(data, fir_katsayilari, mode='same')\n",
    "\n",
    "# Filtrelenmiş sinyali görselleştirme\n",
    "plt.figure(figsize=(12, 4))\n",
    "plt.plot(times, filtrelenmis_sinyal)\n",
    "plt.title(\"Filtrelenmiş EKG Sinyali (Düşük Geçiren FIR Filtre)\")\n",
    "plt.xlabel(\"Zaman\")\n",
    "plt.ylabel(\"Genlik\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "5aeca217",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Orijinal sinyali görselleştirme\n",
    "plt.figure(figsize=(12, 4))\n",
    "plt.plot(times, data, label=\"Orijinal Sinyal\", color=\"blue\")\n",
    "\n",
    "# Filtrelenmiş sinyali görselleştirme\n",
    "plt.plot(times, filtrelenmis_sinyal, label=\"Filtrelenmiş Sinyal\", color=\"red\")\n",
    "\n",
    "plt.title(\"Filtrelenmiş EKG Sinyali ve Orijinal Sinyal\")\n",
    "plt.xlabel(\"Zaman\")\n",
    "plt.ylabel(\"Genlik\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "a76fee46",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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lQqhyeUly2nF7DVXu6AzSnU4nAwYM6OhhqHagQbpSSqlAkK6ZdKVqVbo8JDjtuDxeqnVStYowDdKVUkppJl2pENweL3EOGyLg8uixoSJLJ44q9fzzkJcHNpvv3+ef7+gRKRVx/pp0t9fg1mBEKQDcHoPdJjjtNg3SVcRpkK5i2/PPw8yZ5O+vwGuArVth5kwN1FVM8XoNLo8hKc4OQJVm05UCfCetTrvNCtK1e4qKrJgI0kVkhoisFZENInJzR49HRZHbbmNdUhZHXPdf/nmktQJbRYVvyWSlYoQ/i56W4AS0DaNSfm6vF7tNcNglcJwoFSldPkgXETvwMHAyMBL4sYiM7NhRqaixbRsbu/taIn01YGKd7UrFikCQnuibpqSZdKV83B6DwybE2W249LhQEdblg3RgCrDBGLPJGFMDvASc0cFjUtGiXz92p2YCIJg625WKFf5Jo6lWJl07vCjl4/YaHHZfTbrbq+UuKrJiIUjvA2wP+jnf2qYUzJpFSUoGAAbxbUtKglmzOm5MSkWYP0hPjvdl0t1ae6sUYAXpNhtOu+jEURVxsdCCUUJsq/MJJCIzgZkA/TSDGlsuuojyXQmwD6odcdC/vy9Av+iijh6ZUhETCNKtiaMajCjl4/Z4cdgEu00Cx4lSkRILmfR8oG/Qz7nAzuA7GGMeN8ZMMsZMys7OjujgVMcrHTgUgIqhw2HLFg3QVczx16T7M+kapCvl4y93iXNoC0YVebEQpC8AhojIABGJAy4E3ungMakoUl7tBqCyRutwVWyqn0nX2lulfHyZdBsOm2gLRhVxXb7cxRjjFpEbgI8BO/CUMWZlBw9LRZEKKziv0CBdxSj/KqNJ/ky6XtZXCgBP0MRRzaSrSOvyQTqAMeYD4IOOHoeKTtVuX3Be6fLg9RpstlDTGJTquvzBR6AmXTPpSgHgslowOh027ZOuIi4Wyl2UalR1UNawUlvPqRjk7+aSGKeZdKWCeazuLnF2m3Y9UhGnQbqKecFBupa8qFjk9vqOgUSnvc7PSsU6l9eL3S7aglF1CA3SVcwLXgK9osbdgSNRqmN4rPKWBKfvI6FGM4ZKAb5jw2nTmnTVMTRIVzGvxuPFbtWhayZdxSJ/Nxd/Jl3LXZTycXsMdpsNp92mfdJVxGmQrmJetctLt6Q4QIN0FZv8tbYJWu6iVB1urxdnoNxFrzCpyNIgXcW8areXtETfhLlqnTiqYpA/KPcH6VruopSPL5Ou5S6qY2iQrmJetdtDqtUfWltsqVjkr0lP9C9mpMeBUoCvFMxp95W7uL0GY/QEVkWOBukq5tW4vaQmOAPfKxVrDqpJ1yBdKcB3wmq3CXEOX7ikJS8qkjRIVzHNGEO120tqgmbSVezyHBSkayCiFPhOYB1WTTroCayKLA3SVUzzB+WBIF0z6SoG+ctb/C0YNRBRysfttVYcteuxoSJPg3QV0/wLGaXEa7mLil3+cpc4hw27TXRlRaXwXWn1rzjqsPvXENDPCBU5GqSrmOYPyrXcRcUyf7mL3SY4bLqyolJQe/LqsAlxgXIXPYFVkaNBuopp1fWDdM2kqxhUG4zYiLPbNBBRitqTV4fV3QV0oS8VWRqkq5jm74vuD9Kr9Q1YxSB/TbrdJjjsmklXCmrrz4Nr0nWhLxVJGqSrmObPGCZbfdI1OFGxKPiyvq8ftB4HStVm0muD9Bq3XmVSkaNBuopp/qDcabfhsImWu6iY5PEabAI2K0jXQESp2iSOwybEObQFo4o8DdJVTPNnEJ1232IVGqSrWOS2OliA71jQTLpSDdSka5CuIkiDdBXTPF5/La7NF6TrG7CKQR6vwW7zZQoddpsGIkpRG5D7uh5pC0YVeRqkq5jmv5zptAlxds2kq9jk8nhxWEG6lrso5eOpc6VVWzCqyIu6IF1E7hWRNSKyTETeFJGMoNtuEZENIrJWRE4K2j5RRJZbtz0oImJtjxeRl63t80QkL/LPSEUz/6ItDrtNy11UzPJYS5+Dlrso5ecOutLqz6S7NZOuIijqgnTgE2C0MWYMsA64BUBERgIXAqOAGcAjImK39nkUmAkMsb5mWNuvAvYbYwYD/wLuidSTUJ2Dy3oTdlg16dX6BqxikNtrsAdq0rXcRSmoe6XVoYsZqQ4QdUG6MeZ/xhi39eP3QK71/RnAS8aYamPMZmADMEVEegFpxpi5xhgDPAOcGbTP09b3rwHH+bPsSkFtJt1pLeKimXQVizweEyh38a04qoGIUsEr8WqfdNURoi5Ir+dK4EPr+z7A9qDb8q1tfazv62+vs48V+BcDmfV/iYjMFJGFIrKwoKCgTZ+Aim61E0eFeC13UTHK5fUGJo7GOTSTrhTUbdEbCNL1BFZFkKMjfqmIfAr0DHHTbcaYt6373Aa4gef9u4W4v2lke2P71N1gzOPA4wCTJk3SIzCGBC5nWuUuGpyoWFS3Jt2mgYhS1M2k+680aXcXFUkdEqQbY45v7HYRuQw4FTjOKmEBX4a8b9DdcoGd1vbcENuD98kXEQeQDhS1+gmoLsMdqEn3TRytdukbsIo9vj7pweUuehwoFVjMKGjFUT2BVZEUdeUuIjID+D1wujGmIuimd4ALrY4tA/BNEJ1vjNkFlIrIVKve/FLg7aB9LrO+Pxf4PCjoV6ruinJ27ZOuYpOvJt2aOKpXlJQCghYzstkCV5q0Jl1FUodk0pvwf0A88Ik1x/N7Y8y1xpiVIvIKsApfGcz1xhiPtc91wGwgEV8Nu7+O/UngWRHZgC+DfmHEnoXqFAITR7UFo4ph7qDFjJw6cVQpoG73L6fNv+KoHhsqcqIuSLfaJTZ02yxgVojtC4HRIbZXAee16QBVlxI8cTTOYdcgXcUkt9cbyBQ67DbtBa0UvitM4LvS6gwsZqTHhoqcqCt3USqS6kwctduo1iBdxSBPUE26026jRrOFStXOWdLFjFQH0SBdxbS6E0dFa9JVTHIH16TriqNKAb4yMPBPHNXFjFTkaZCuYtpBE0c1k65ikCeoJt1h0xaMSkHtnCWHTRAR7DY9gVWRpUG6imk6cVQp3wS5QJ90vaKkFBCUSbeuMjlsoiewKqI0SFcxzT9x1Ca60qKKXZ463V104qhSUFt/7j+B1Ta9KtI0SFcxzeU1OO2+S5lOuw231+D1aqZExZbgmnSHXfCa2h7RSsWq2ky6v/ORZtJVZGmQrmKa2+MNBCdxDt+/milRsaZ+dxfQVnNK1WbSbYF/tSZdRZIG6SqmuTymzqVM3zZ9E1axxe31YvfXpAdWVtSMoYpt/mNAF/pSHUWDdBXTPF4TyBz6M+n6JqxijTtEJl3r0lWs8wfpTl3oS3UQDdJVTHN7vbVZEis40Q4vKtbUrUnXsi+loHZeRvAaAprEUZGkQbqKaS6PwWnTchcV2+rUpFv/6gQ5Fev8nwXBV5n080FFkgbpKqa5Pd5A5tBplbtUayZdxRi31wTVpPvLXTRIV7HN4zXYBGzB3V10roaKIA3SVUxzeYMnjvqXfdYgXcUWt9dbp80caLmLUq6gMjDwlb3o54OKJA3SVUzzeGov8wdaMGomXcUYj8ccNDdDW82pWOcJWokXfDXpeoVJRZIG6Sqm+TKI/klBWpOuYpM7qMuRlrso5eMKOnkFrUlXkadBuoppLo8JtNeK0+4uKkZ5vLXBiJa7KOUT3KIXfJ2PXFqTriJIg3QV09zegyeOanCiYk1wTbrTppl0paBui17wdT7SPukqkjRIVzHNFVyTrpl0FYO8XoPXBK2q6F9xVIMRFePcQS16weruoievKoKiNkgXkd+IiBGRrKBtt4jIBhFZKyInBW2fKCLLrdseFBGxtseLyMvW9nkiktcBT0VFMU9wdxddcVTFoNpVFXUxI6WCBbcmBa1JV5EXlUG6iPQFTgC2BW0bCVwIjAJmAI+IiN26+VFgJjDE+pphbb8K2G+MGQz8C7gnIk9AdRpuT+3E0UAm3ePpyCEpFVH+VRUPzqTryaqKbW6vCZR/gRWka9cjFUFRGaTjC6h/BwR/SpwBvGSMqTbGbAY2AFNEpBeQZoyZa4wxwDPAmUH7PG19/xpwnD/LrhTUnTjqr0l3uTU4UbHD32rRUa8Fo2YMVaxze+rWpDtsWu6iIivqgnQROR3YYYz5od5NfYDtQT/nW9v6WN/X315nH2OMGygGMkP8zpkislBEFhYUFLTJ81CdQ90WjL4342oNTlQM8Qcd9TPp2sVCxTq31wTKv8Dq7qJBuoogR0f8UhH5FOgZ4qbbgFuBE0PtFmKbaWR7Y/vU3WDM48DjAJMmTdIjMIa4PbU16fF2X/WUSyeOqhjir0kPrDga6O6ix4GKbb5yyHqLGWm5i4qgDgnSjTHHh9ouIocAA4AfrKqUXGCxiEzBlyHvG3T3XGCntT03xHaC9skXEQeQDhS13TNRnZ3bW9vdxenQ/tAq9vhr0uu3ItVyFxXr3EGNBcCqSdckjoqgqCp3McYsN8bkGGPyjDF5+ILsCcaY3cA7wIVWx5YB+CaIzjfG7AJKRWSqVW9+KfC29ZDvAJdZ358LfG7VrSsFWJkSe92Jo/omrGKJPzMYKHex/tXL+irWuYNa9IKvBaOWgalI6pBMeksYY1aKyCvAKsANXG+M8bfhuA6YDSQCH1pfAE8Cz4rIBnwZ9AsjOmgV9Vze2omjdpsgohlEFVs89ctd7FruohRYLXqDu7vYbHpcqIiK6iDdyqYH/zwLmBXifguB0SG2VwHntdf4VOcX3IJRRIiz23TiqIoproYmjmomXcU4l9dLvLM2THLYBa/xLQBms2mjONX+oqrcRalIC544Cr6SF23BqGKJp95iRoEWjDpBTsU4j9fUmziqx4aKLA3SVUxz13sTjnPYdDEjFVPq16T7jwftB61inctjsNdZzEivMqnI0iBdxTS311unD65TM+kqxtSvSde5GUr5eLzeQGAO2p5URV5YQbqITAyx7bS2H45SkWOM8a04Gnw50yHaglHFlPo16SKC06aLtijl9pg6K45qJl1FWriZ9CesHuYAiMiPgT+0z5Bi0/7yGoorXR09jJhSvz80+GrSNUhXsaQ2k173sr5mC1Wsc3tNoA4dgjofaU16l1JQWs3Vzyxk7sbCjh7KQcIN0s8FnhaRESJyNfAzQq8Kqlro9Ie/5c/vruzoYcSUwEqL9RarqNE+6SqG+AOO4OPAt/y5Hgcqtrk93jqZdJ2v0TWVVrn4ZNUe9pRUdfRQDhJWC0ZjzCYRuRB4C9gOnGiMqWzPgcUap10vL0da/eXQAeIdGpyo2FK/Jh18mXRdtEXFOnfQOhrgaywAuip1V+Ou1+EqmjQapIvIciD4nbo7YAfmiQjGmDHtObhY4rTpcsOR5r+cX/cyv2bSVWzxf0DZ67Wa03IXFevcXlMvk+6fOKonsF2J/zM/+GpitGgqk35qREahcDpEM7gR5r9yUT9Toq+DiiX+gCP4ZNVhF72yp2Je8GJ3UBvE6WdE11KbSe98Qfp+Y0yJiHSPyGhimNNu08vLEVZbi1s3k15e7e6oISkVcZ4QNem+7i4aiKjYVn8dDX8Q59bP6i7Ff9Ww05W7AC/gy6Yvwlf2EnyaYYCB7TSumOPrz60fipFUm0Gsv5iRvgGr2BFqboav3EWPAxXb3F5TJ4mjfdK7ppoQpa/RotEg3RhzqvXvgMgMJ3Y57UK1Sw/8SArV3SXObqPGrSuOqtjhCVGT7it30fcjFdt85S51T15BJ452Ne4Qpa/RoqmJoxMau90Ys7hthxO7nHYbZVVaZhFJoSaO+mrSNYOoYocrZE26lt+p2Ob1GrymfotebcHYFYUqfY0WTZW7/KOR2wxwbBuOJaY57VpmEWmhJo467aLdXVRM8dek2+tcURItv1MxLVQZmC5m1DXVuDtpJt0Yc0ykBhLr4rTlWcQFzp7rtWDUy/wqlgQ6G9RrNaeBiIploVak9gfserW1a/G/13XGiaMBIjINyAvexxjzTDuMKSY5tQY04kLWpDtsWm+oYkpDNemVLg1EVOxyBZI4By9mpJ/VXUuoJhLRIqwgXUSeBQYBSwH/rDoDaJDeRhy64mjEheoPHaeLGakY09BxoIGIimWhAjf/91qT3rW4OnELRr9JwEhjjP5lthNfTbp+KEZSYOKoLmakYpg7RE26wy4aiKiYVntc1C2HBM2kdzW189OiL0gPd0QrgJ7tOZBYF6flLhHnCrHKmNNuw2u0D66KHQ1NkHNpTbqKYYG2fPXKwEAXM+pq3CEWdIsW4QbpWcAqEflYRN7xf7XXoETkRhFZKyIrReTvQdtvEZEN1m0nBW2fKCLLrdseFBGxtseLyMvW9nkiktdeY24tXcwo8hpqwQg6MUjFDk+oRb203EXFuJBzNXQxoy4pkEnvbIsZBbmjPQcRTESOAc4AxhhjqkUkx9o+ErgQGAX0Bj4VkaHGGA/wKDAT+B74AJgBfAhcBew3xgwWkQuBe4ALIvVcmsPp0L7EkRZq4mhgsQq3l8Q4e4eMS6lIcocMRrTcRcW2UHXKcYHFjPTY6EoCr7Wjk2bSjTFfAVsAp/X9AqC9FjK6DrjbGFNt/e691vYzgJeMMdXGmM3ABmCKiPQC0owxc62a+WeAM4P2edr6/jXgOH+WPdo4bb5yFy37j5yQE+YcuqKcii1urxe7TQh+a9SJ7CrWNdT1CDST3tWEuqoeLcIakYhcjS/Ifcza1Ad4q53GNBQ40ipP+UpEJgf9zu1B98u3tvWxvq+/vc4+xhg3UAxk1v+FIjJTRBaKyMKCgoI2fTLhctptGFP7xqDaX6g6tDjrew3SVaxwe02dQAR0joxSoRa705r0rinUax0twi13uR6YAswDMMas95ehtISIfEroiai3WWPqBkwFJgOviMhAINT/nmlkO03cVrvBmMeBxwEmTZrUIUefM6gW2qFVFhERqg7Nn0mvdnlC7qNUV+PxmDqT48CXSddsoYpltZn0oO4uNu3u0hW5PF4c9a4mRotwg/RqY0yN/wmIiIMQwW64jDHHN3SbiFwHvGGVrswXES++iav5QN+gu+YCO63tuSG2E7RPvjXmdKCopeNuT4FaaI+XRDRKj4RQLRgTnb7/+yqXvgmr2BAqk+606xwZFdtcIa602myCTbRPelfj9pqo7OwC4Xd3+UpEbgUSReQE4FXg3XYa01vAsQAiMhSIA/YB7wAXWh1bBgBDgPnGmF1AqYhMterNLwXeth7rHeAy6/tzgc+jtde7v8xCz9AjJ9TE0Xh/kO7WTLqKDR6vqbP0OegKyEp5QrQmBesEVo+NLsXl8UZlZxcIP5N+M75OKcvxdVF53xjzn3Ya01PAUyKyAqgBLrMC65Ui8gqwCnAD11udXcA32XQ2kIivq8uH1vYngWdFZAO+DPqF7TTmVvN/SOoZeuSEmiwSyKTXaJCuYoN/4mgwh612jkz925SKBa4GJhM6dVJ1l+P2mEDJcbRpNEgXkTOAXGPMw8AT1gTSbGCiiBwwxrzW1gMyxtQAFzdw2yxgVojtC4HRIbZXAee19Rjbg65kFnmhMukJmklXMcYdoibd34rM5fFit2n5nYo9nhCfD/6f3brQV5fir0mPRk2dOvwOX8mIXxwwEZiOL3ut2ohTu4pEXKiJo/5MemWNvg4qNni8Bru9fncXbUWqYps7xCJfvp81k97VuDymTj/8aNLUqOKMMcFtD781xhQZY7YBye04rpgTp5n0iAs1cTTB6XsdqrS7i4oRbq856JJ+YG6GHgcqRgWutB5U7iLa+aiLcXu9nXbiaLfgH4wxNwT9mN32w4ldgXIXt56hR4o7xMSgQCZdgxMVI0LVpMcHWpFqMKJiU6gkDujE0a7I5fF22kz6PKsOvQ4RuQaY3z5Dik3+NwKX1rpFTKiVFjWDqGKNy2MOuqTvn5tRrXMzVIwKlcQB32e1tiftWkK9B0aLprq7/Ap4S0R+Aiy2tk0E4oEz23FcMSdQ7uLWID1S3CEOzMRAcKKvg4oNnhA9gv2ZdF0vQMWq2hWp65W72HShr67GHcWZ9EaDdGPMXmCaiBwLjLI2v2+M+bzdRxZjglccVZERarKI0+5brKJSWzCqGOHrbFD3OEjQk1UV4xqaOBrnsFGjx0WX4osFOmcmHQArKNfAvB1pC8bIC1WLKyIkOu1a7qJihjvEB1RtTboeByo2hWrRC1aQrp/TXYrL4z3oikm0iM5RxSBtwRh5DbVdSnDadeKoihlu78GZ9ECQrhlDFaMa6u4S77DphOouxu2N3ky6BulRQjPpkeerQzv4wExw2rUWV8UMd4ia9ASdQB3zlucXc/S9X3DaQ9+yvaiio4cTcbUrUh98lUmTaV1LNNekR+eoYpD/D8StNekREyo4AV+vdA1OVKwINYFaM+mxzeM1/OqVpZRWudmyr5wrZy+gvNrd0cOKqIZWHI132DWT3sXUeA5eKyJaROeoYpCWu0ReTQNnz4lxWpOuYkeoekxtwRjb3v1hJxv2lvGXM0bx70smsrGgjJvfWI4xsZNEcnkaKHdx2vS46GIauqoeDcKaOKran644GnlujxdniLPnBIfWpKvYEaoeU1swxq5qt4d/frKO4T1TOWV0L2w24dcnDuPej9cyqX83LpuW19FDjAiPN/RiRnF2m15haiWv17B9fwUuj5fSKjeLtu7H5TFcPLUfqQnOiI8nmieOapAeJZzaJz3i3J7Q5S6JcfaYu7SrYpfHe/Cl3njNpMckj9fwz/+tY1tRBU9fOQWbVQZ13dGDWLx1P3e+v4qxfTMY1zejYwcaAf5Mul3qncA6tQVja+wqruSK/y5gze7Sg257c0k+z111KDlpCREdU43bG0iURhsN0qNEYMVRrUmPGJc3dHeXeIedfWU1HTAi1Rm8sTifZ7/fSkW1B7tN8BrD2RP6cPWRA+usXttZ+Pqk15s4qpn0mPPt+n384a3lbCms4LyJuRw9NDtwm80m/OP8sZz60Ldc//xi3rvxCLolx3XgaNufv0Wv7aD5GnbNpLdQZY2Hy59awI4Dlfz1jFGkJ8URZ7cxvl8GG/aWcfUzC/nxE9/z4syp5KRGLlCv8RjiHNEZpEfnqGKQP1jUmvTIcblD16ElxdmprNFMujrY7O82c9MrP1BZ4yEvK4neGQmkxDu464M1PPXdlo4eXouEuqLksNuw20Qz6TFi/uYiLvvvfBx2G/++eAL3nDPmoPtkJMXxyEUTKCit5pcvL8Xr7doJpYYWuIl3aE16S/3lvVWs3VPK//1kPJcclsfpY3szY3RPeqQlcPjgLGZfMYVdxVWc8sC3PPH1JoorXBEZV43bEyjxizbROaoYpN1dIi9Uf2iAlAQHZVruour5eOVu/vLeKk4Y2YN3bzyCxy6ZxH8um8yr1x7G8SNyuOejNewururoYTab2xu6HlP7QceGareHX7+6lNxuibz5s2nMsOrQQxmTm8GfTh/JV+sKePDz9REeaWS5GpizFOew4fKYLn+S0tbeW7aTF+dv49qjBzF9WE7I+0wZ0J1XrjmMITkpzPpgNYf+7VNufXN5uzdyqPF4NZOuGme3CXab6MTRCHJ5DM4QB2ZqgoOSKg3SlU9xhYvfvPoD1zy7iJG907j/gnF1yqREhD+eOgqv1/Dolxs6cKQt4/IYnCGCsgSnnSrNGHZ5z87dyvaiSu48c3RYk/Z+MqUfZ4/vwwOfred/K3dHYIQdo6E5S/EO33wNveodvoLSam55Yznj+2Xw6xOHNnrf0X3SeXHmVD74+ZGcNb4PL87fxg0vLG7XzkJak67C4rRrkB5JvkzJwW/CaQlOatxeqt2ewBuyik3FFS7Of2wuGwvKuP6YQdx47JBAe8Jg/TKTOHdiLi8u2M4vjh9K905Ur+vxGuwhMoaaSe/6iitcPPT5Bo4ams2RQ7Kb3gHfSeldZx/ChoIyfvnyUl6/bhojeqW180gjr7ErTADVLm/I94K2ZozhvWW7+GZ9AfvKaiipdNE/M5mbThxKn4zEdv/9beFvH66myuXhvvPGhr1o0Mjeafzt7DEMyUnlL++t4pm5W9uls5Db48Vr0Ex6uERknIh8LyJLRWShiEwJuu0WEdkgImtF5KSg7RNFZLl124Nizd4SkXgRednaPk9E8jrgKYXNadOVzCKpoUxJaoLv3LVUs+kx71+frmP93lJmXzGF3540vNEP5SuPGECN28srC7dHcISt52ps5V2dINelPfzlBkqqXNxy8vBm7ZfgtPPEpZNITXDw06cXsr+86020r3GbkNnVeKd/oa/2v8pU7fZw3XOLufHFJXy2ei97S6tw2IUPV+zivEfnUFhW3e5jaK2FW4p4Y/EOrj5yIIOyU5q9/xWH53HMsGxmfbCapdsPtPn4/DGXBunh+zvwZ2PMOOCP1s+IyEjgQmAUMAN4RET8n5iPAjOBIdbXDGv7VcB+Y8xg4F/APRF6Di0S59DWTpHkaiBTokG6Atiwt4znvt/KhVP6ccSQrCbvP7RHKocNzOTZuVsDqxV2Bg2tvOvLpGu5S1e1vaiC2d9t4ZwJuS3KhPdIS+DxSyZRUFrNL15e2qn+5sPhy6Q3XO7S3h1ejDH87rVlfLRyN7edMoIFtx3PezceyUszD+PlmYdRWF7D9S8sjuqYweM13PHuSnqlJ3DDsYNb9Bgiwn3njSU7JZ4zH/6Oobd9yOF3f87cjYVtMkb//1+0lrtE46gM4H/HSAd2Wt+fAbxkjKk2xmwGNgBTRKQXkGaMmWt8RUvPAGcG7fO09f1rwHESxT3SEpx2bXkWQS5P6Dq01HhfXWZpVWRmlqvodNcHq0l02rnphMZrKINdclh/dhyo5Jv1Be04srZjjAnZJx38XSwi+35UXu3GrVcTI+Kfn6xDhCZrhBsztq9vIunX6wp48LOuNZHU7TEHtSaF2oxrex8bry/ewdtLd/KbE4dy9VED60zmPSQ3nXvOGcP3m4q48cXFUftZ9erC7azYUcLNJw8nKa7l1dWZKfG8df3h/ObEoVxxeB7xThvXPreoTSbqB4J0zaSH7ZfAvSKyHbgPuMXa3gcIvo6cb23rY31ff3udfYwxbqAYyKz/C0VkplVas7CgoOM+XOOdNp2oFUENvQlrJl19tnoPn6/Zyw3HDiYrJT7s/Y4f0YPuyXGdpuTF7fUvfR4iY+iM3Mq72woruOK/8xl9x8eMvuNjbnhhMZ+s2hPVWcLObMWOYt5csoOrjhhAr/TW1TX/ZEo/zpmQy4Ofr+frdZ3j5DQcvjKwRmrS2/GzurjSxV/fW8XkvG78bHroDPSZ4/tw+6kj+WTVHk576Fu27Ctvt/G0RHGli79/vJbJed04fWzvVj9edmo8Nxw7hFtOGcGTl02mxu3lt6/90OouO9UapB9MRD4VkRUhvs4ArgN+ZYzpC/wKeNK/W4iHMo1sb2yfuhuMedwYM8kYMyk7O7zJM+0hwWHXy8sR5PKYkOUuaYm+THpxZXRmJ1T7Kq92c/tbKxjaI4UrDh/QrH3jHDbOHNeHT1btoagT1On6W76GOg5S4h0RWXl3/Z5SznzkOxZs2c91Rw/i3Im5zNlYyNXPLGTyrE+55Y3lrNhR3O7jiBVuj5c/vLWCzOQ4rp0+qNWPJyLceeZoBmYlc8sby7vMas1NB+ntdwL57NwtFFe6+NNpoxpshwlw1REDeGnmYRRXurj6mYVU1kRP/PDQZ+vZX1HDn04b1eaLvA3ISubWH43gm/X7eKSVHbX8NenaJz2IMeZ4Y8zoEF9vA5cBb1h3fRXwTxzNB/oGPUwuvlKYfOv7+tvr7CMiDnzlM0Xt8ZzaQoLTpuUuEeT2eokLUXOYmeLrzLGvE0zKUW3vX5+sY2dxFX87+5AWZVcumNwXl8fw1pId7TC6tuXy+t5vQk0cTY3AegFVLg83vLAEm8C7Nx7B72YM584zD2Hercfx38snc8ywbN5euoNTH/qWq2YvYG2IpcRV+IorXfzy5aUs3X6AP542krQwWi6GIzHOzj3njGFncSX3fry2TR6zozU8V8OqSW+nz+qKGjdPfruZY4ZlM7pPepP3nzKgOw/+eDzr95bxQJSUHO0tqeLZ77dyzoTcsJ5DS1x8aD9OG9ub+/63jmueXdji0hetSW++ncDR1vfHAv6/uneAC62OLQPwTRCdb4zZBZSKyFSr3vxS4O2gfS6zvj8X+Ny0Z7PNVvLVpEfPmXB78i8B/NBn6ztsUQiXO/TE0e5JcYjAvtLIBOkbC8qY9f4q7vpgNR8s38Xeks63IE5XsWFvKbPnbOHCyX2Z2L97ix5jWM9Uxuam88rC7e3a27ctBDLpIbJ1KfEOytq55OvJbzezdk8p9543lgFZyYHtTruNY4bncP+F45l363H85sShLNy6nwsen8uu4sp2HVNX9e36fRxz35d8sHwXv58xnDPG9Wl6p2aYlNedS6b25+m5W1i8bX+bPnZHaGgxI393l/bqxPbCvG3sr3A1a6LlkUOyuWBSX574ZlNUXHV6cf52ajxebmzhZNFwiAgPXDCO388YzpdrCzjxX1+xpAV/d/4gPdzWkJEWjaO6GviHiPwA3IWvawvGmJXAK8Aq4CPgemOMP6K9DvgPvsmkG4EPre1PApkisgG4Cbg5Uk+iJRIjWAPakVweLzOfXcgnq/bwj0/W8dKCjqnfdTWQKXHYbXRPiqOgrP3LFb7bsI8fPfgNs+dsYfacLfzs+cVMueszTnngGz5YvouC0mpuenkph/zpYx7+ovMtlNOZGGO4451VJMbZ+e1Jw1r1WOdP7sua3aUsj4IPzMa4rUx66C5HznadlxGcMTymgRUI/eO44dghvHX94VRUe3jwMz0OmmtrYTk/e34RWSlxvHPDEVzXBmUuofz2pGH0TEvgt6/+wLbCinb5HZHSUItef8a1PUpTK2s8PPb1Jg4bmNnsJMGtp4ygW1Icv3n1B9bv6bgrTsYY3vlhB1PyutM/M7npHVrBZhOumz6Ij395FN2S47j4P/OYv7l5xRLagrGZjDHfGmMmGmPGGmMONcYsCrptljFmkDFmmDHmw6DtC61ymUHGmBv82XJjTJUx5jxjzGBjzBRjzKaOeE7hCs6kuzxeFm/bH/WZuJZ4Yd42NhWU88SlkzhsYCZ3f7iaAxWRr991N5ApAchKiW/3cpftRRXMfGYheZnJfHfzsay44yTe/Nk0bjtlBDUeLz97fjGTZ33Ku8t20qdbIvd+vJY5G/e165hi2ccr9/Dthn3cdMJQMpsxWTSU08b2JsFp4+UInIAWllW3uCylsUx6aoKDGo+33SbIvTBvG0XlNdxw7JCw7j8gK5mzJ/ThrSU7orabRTSqrPFw7XOLERGevGxyu5UfgO+E6r7zxrKnpJoT/vUVby+N/pKvhjRUk57gbL+a9OfnbaWgtJpfNaOjlF96kpO/n3sIm/eVc8K/vub0//uWjQVlbT7GpqzZXcrGgnJObYPJouHKy0rmlWsOo2d6Apc+NY/n520Nu0uUdndRYYsPqkl/8LP1nP3IHF5blN/EXu1jze4S/vbBalbtLGnTx91bWsU/P1nHtEGZHD8ihztOH0VZtZuHPo9sdszjNXhNw5e4slPjKWjHchdjDL9/fRk2EZ68fDI5qQnEOWyM79eNq48ayMe/PIp/nj+Wnx87mA9/cRRvXX84fbsn8qe3V+qqtO2gosbNX95dybAeqVwytX+rHy8twckph/TizSU72HmgfcozKmrc/O61H5h456cccsfHnPXId1z/wmLOfuQ7/vreqrAC2cYmjrZnlyOP1zB7zhamDOjOxP7dwt7v/Ml9qXR5eH/ZrjYfU1ewbk8p//lmE/9buZsatxev1/C715exZncJ9184jr7dk9p9DIcPzuKTm45ibN8MfvPqD6zrwKxua7g8JuRcjfbqk15R4+bRLzdy5JAspgxoWandscN78M3vjuGO00aSv7+Scx6dw6KtkS09+njlbkRgxqieEf29PdISeGnmYYzpk8Ftb67gpPu/Dqv8RYN0FbYEpz2QtfpmvS9j+uGK3S1+PI/XNJqJN8awLP8As95fxbmPzuEv765id3EVHy7fxVkPz+GxrzdxwWNzyd/fNpctV+wo5tpnF1Hp8vCXM0YjIgzrmcp5E/vyzNwtbIrgWb8/0A11OROgT0Zimz3vUOZuLGTOxkJ+3cDSznabcPaEXG46cRiDc1JIcNr5w49Gsn5vGbO/29Ju44pVD3y2np3FVcw6a3TIgLUlfnX8UIyBW99c3qx5FyVVLtbsLuGVBdu54LG5TPvbZ7xe72T92/X7mHH/N7y6KJ8rDs/j58cOwes1/LD9AA67jf9+t5lTHvyGz1bvafRks7GJoynxviC9PerSP1u9h/z9lVx5eF6z9hvfN4OBWcm81YkztG1p1c4S7v90Hf/+aiM3vbyUGfd/zZ3vr2bms4s47G+fMeOBr3n3h538fsbwRkuK2lqv9EQevWgCKfEO/vDWija/Ilxa5WLp9gPt2gbR7fU2uH4A0Obzx56du5XC8hp+eXzL+9YD5KQlcPnhA3j7+sPJSHRy0X++56NWxBHN9fmavYzvm0F2auuuRrZEdmo8L18zlccumUiVy8tlT81nze6DE427iisDXYgC5S5RWpPe8u7yqs0lWosZ1bi9gQz2oq378XpNo22YQpm3qZDrnl9MotPOfeeN5bBBmVTUuHl9UT7r95ZRXOli4Zb97DhQidMujOyVxjNzt/DUd5sBGNc3g9tPHcklT87jD2+t4L+XT25xG6XKGg+/e30Z7/6wk5R4B/84byyDc2qXB/71iUP5aOVurn9hCW/+bFqjS6/77Squ5O2lO0lLcDK+XwalVW6q3R4m53UnwWnHGMO2ogp6pSeGPEP294cOFZwA9MtMYl9ZDWXV7kCw0pYe/nIDPdLiuXBKv7D3OXFkD44fkcNdH65mwZYiLpuWx+GDm14JUzXu+02FPPH1Ji6Y1JdJeS3LYIXSt3sSt54ynNvfXsn9n61vcFGkovIaHvt6I99t2MfWwoo6mesBWclkJMXx61d/oKCsmrPH9+GuD1bz1tKdDMhK5qWrp3LoQN/SD8GXyBdtLeLnLy7lqqcXAnDNUQO55ZQRB/1uT6BPeuiadGifTPrsOVvonZ7A8SN6NGs/EeHM8X345yfr2HGgMuQJbqz4flMhlz45PxBkJMXZueLwAVx1xADW7inltUX5FJXVcM85Azh/Ut8mHq3tZabE8+sTh/GHt1bw8crdzBjdq1WPZ4xhyfYDvDx/O+8u20lFjYe+3RN57OJJjOzd/BVTm9JQTXqS9XnQlu0Oq90envx2M0cMzmrWlaXG9O2exGvXTePK2Qu49rlFnDW+D389c3S7fJ757SmpYll+cavn9LSGiHDSqJ6M7JXGuf+ew0+fXsj7Pz+SdKu18t6SKo697ytG90nj1WunBU62wok7OoIG6VHE14LRQ/7+Cmo8Xg4d0J15m4vYXFjOoOyUph/A8tGK3fz8pSVkp8TjsAsXPzmPU8f04pv1+ygqryE90UlKvIMRvdL4xXFDOGlUT9KTnGwrrODNJTvISHJyweS+JDjt/PrEYfz1vVV8sHw3PxrT/DfZyhoPV8yez7zNRfz8uCH89MgBB7X9yklL4F8XjOXK2Qv57WvLeOCCcY2elCzdfoCrZi+gMEQf6qyUOC6c3I9vN+xj6fYDDO2RwmvXTTvod7qamNHdP9N3WXhbYUWbfwBsK6zguw2F/ObEoc16YxARHvzxeB74bD1vLN7BJ0/O47GLJ3JihC8rFpXXsGBLEZPzutM9Oa7Obe8v28XTc7cwJCeFm08eHgj0olVhWTW/eGkJeZnJ3H7ayDZ//Iun9mdZfjEPfrae3IxEzp9cN1jasq+cS56ax84DVUwd2J2zx/ehT7dEemckkpeZzKjeabi9hpte+YG7P1zD3R+uIc5u4+fHDeFn0wc1+PczsX93/vero5i/pYh3lu7ksa83cezwnEBA7+e/omQPcbxlJPleu6I2ni+yYW8pczYW8vsZw1t01eLMcb4g/Z2lO9ttAmRrrNldwvL8Yvp1T2JC/27t0jWiuMLFr15eSm63RF6/bho2mxDvsAX+HnpnJEY0c96QCyf35dm5W5n1wWqOGZ4TKBVprvmbi5j1wWp+2H6ApDg7p47pxZQBmdz78RrOeXQOfz59FGdP6NNmV8HAd5UpVHY10fo/Lq9pu5PXd5buZG9pNf88f1ybPSb45la9eu1hPPz5Bh7+ciMrdhTz93PHMK5vRpv3LgdfFh3guBEd/7fXt3sSj148kfP/PZc/v7OSf14wDoD/rdpDpcvDgi37KSitpsI62UqK0yBdNSHBYcftNWwt8pVZnDy6J/M2F7FiR3GTQfrKncXM/m5LoKPEuL4Z/PfyyTjsws1vLOejFbs5YnAW104fxOQGsoX9MpP4xfF1J3Fddlh/3licz5/eWcHI3ml12qQ1xes1/ObVH5i3uYj7LxjXaMuvY4f34PczhnPPR2vonZHALScfnPWbv7mI1xZt5+2lO8lJi+fFmUcR77CxeNt+MpLi8Fp1rv/3xQZ6piVwzVEDefybTTz+1SZ+U+/M3tVIVwuAPGtW+rai8jYP0l9bnI8InD0ht+k715MU5+CWk0fwq+OHcs6jc7j97RUcNTQ7YlmAgtJqznl0DtuKKuieHMf//WQ80wZlUeXy8Jf3VvHCvG30z0xi0db9LN1+gP9eMZm1u0v5zzebiXfYOGt8H04c1TNkUBhpxRUuZj67iP0VLp66fHK7ZJhEhDvPGs3O4kp+9/oy/vnJOpLi7QzMSmZIj1ReWbAdrzG8ft00xvXNCPkYTrtw/wXjmDKgOzv2V3Lh5L7khXEcJsc7OGZYDocNzOTzNXt5ft62g4J0f016qCtKOdbl6raem/HWkp3YBM6b1Py/f/C9T03s341XFm5n5lEDO+xv6ftNhdzxzkrSEp38fsZwRvVO4+4P1zB7zpbAfVLjHRw+OIv0RCfFlS56pifwq+OHkp7U8pPXyhoPv3h5CfvKqnn9uml0q3eiHE0cdhu3nzqSi5+cx40vLOGusw8JewXfrYXlvLYonwVbivh+UxG90hOYddZozhjXJ3CsHjUki589vzhwbF08tR9nTchlw94ythVVcNqYXmQktez/x+UOnUm324REp71NF2165wfflbHDBx+0IHqrxTvs3HTiMKYOzOSGF5dw1iNzyE6N57ZTRnDm+LZtw/nm4h3kZSYxrEdqmz5uS03o141rjh7Iw19s5NJpeYzrm8Enq/YEbl+/p1SDdBW+ROuPZONeX2329GE5xH+4hmX5xQ0GuMYYXpi/jT+/s4p4p41xfTO46YShzDxqYCBwe/gnE1o8JofdxgMXjuP8x77noie+5/WfTQt7GenHv9nE+8t3cesp4fXkvfbogew8UMljX22id3oil03LC9x2xzsrmT1nCynxDk4d05tbThkeeLMPbvN03Ige7C6uontyHHEOGxsLynh10XZ+dcLQOh/mgeCkgQ/4flYmfWsbtxHzeg2vL8rniMFZ9G7FpfoEp53bThnBT/4zj5cXbK/zf9VeyqvdXPX0AvaWVnH32Yfwn283c8mT8zlmWA4rdhSzu6SKa44ayG9OGsa3G/bxs+cWc/jdn+PyGHqmJSDiy2L0SIvnmGE5HDeiB9OHZR+UadxYUMb6PWVMGXBwpr61jDEs3LqfNxbv4MMVuyircvPQj8czqnf7dbyId9iZfcUUXpy/jSXbfHW0a3eX8unqvQztkcKjF09s8iTcbpMWT2hNcNqZMaonH67YhdtTd22Axlow+mtK95a2Xd9+YwzvLtvJ4YOzwg7WQrny8AFc/8Ji3lu2s837fYdjxY5irpq9gG7JceyvqOHcf88hK8U32fzyaXlcclh/1u8p48u1e/lu4z6qXV5SExx8unoP328q5MWrpzYruK5yefhqXQHvL9vFF2v2UlbjZtaZhzAmN6P9nmQbOWJIFn88dSSzPljN9Hu/5Lrpg7jqiAGNJhYWbS3iJ0/Mw+01DO2Rym9OHMpVRwwMfEb65aQl8Mo1h/HZmr08M3cL9/1vHff9b13g9qfnbOGdGw4nKa75oY7bG3odDYDkeDvlbVTuUlzhYu7GQq46ckC7ZLf9pg3O4svfTuejFbt5ft42fvPqDwzrmcqIXm2ThFqeX8z8LUXccvLwdn0ezXXd9MG8OH87//pkHQ9fNIG5Gws5dUwv3lu2i40FZVRaV0Tq/21FCw3So4h/OfrVu0oRgT7dEhnVO43l+b5ey8YYXl+8g9cWbaeyxkP35DjKqt0s2LKfo4dmc/8F49olqzI4J5Vnr5rCBY99z89fXMLLMw9rskZ+54FK7v90HSeN6sHVRw4M6/eICHecPordJVXc8e5KeqQlMGN0T577fiuz52zh0sP6c+spI5rMGvdMTwh8/6Mxvfh09V5W7yqp03qsNoMY+k04LcFJ9+Q4thSWhzX2cH2/uZAdByr53YzW1+xNs+oXn/hmExcd2q9NL/XWV1Ll4vrnF7NiRzGPXzKJ40f24EdjevG3D9fw3YZ9jOiVyj/PH8s0q0b+mGE5vHzNVJ6du5VDctO5YHJfHDYbn6zazVtLdvL+sl28tGA7OanxnD0hl4n9u5Ecb+e1hfm8uXQHxvgyGzefPJxLpvZv9Zt+WbWb2d9t5pWF+WwrqiApzs7xI3ow86iB7dqSzs9pt3HpYXlceljttooaNwkOe7Pnm7TEkUOzeHnhdlbsLKmTsXc1crKaFOcgJd7B3pK2y6Sv2lXC1sIKrju6dWUqJ4/uyfCeqdz78VpOGtUzovWkK3YUc+lT88lIiuP166aRFGfnwc/Ws6mgnMum5XHU0GwABmWnMGN03VK0b9YXcNXTC7l89gKeuWJKkxn13cVV/OuTdby/fBdl1W66Jfm6Bp07KbfBK6LR6MojBnD0sGzu/nAN9368llcXbuexSyYxrOfBGde9JVVc+9xieqYn8PLMw+q8n4diswknjOzBCSN7sGpnCQu2FNGvexLVbi/XPreIx7/e1KLJmC6PaTCJkxTnoKKNMulfrN2L22s4KQJli2kJTs6f1JcTRvRg+n1fcs9Ha5h9xZSmd2xClcvDr19dSnZqPBdMjvz8h8akxDuYedRA7v5wDfd9vJYaj5dLpvbnizV72VhQTlKcHbtNdOKoapp/YsOqXSX0SE3AabcxJjeDVxZux+3x8vTcrfz1vVUM7ZFCj7QECsqqcbkNt54ynJ8eMbBdP+xH9U7nT6eN5LevLeOVhdubnPD4tw/XYAzcfurIZgVYdpvw4IXj+fET3/OLl5Zw+eF5/Ocb34InfzptVLMvbU8b5Asa524srBOM1TTR3QUgLzOJzfvaNkh/bVE+qfGONntDnnnUQK55dhEfrtjNae3Ql3ZTQRlPz9nC64t3UFHj5u5zxnD8SN9kv9QEJ3eddUiD+47JzeDe8zLqbJsxuhczRvfC5fHy5doCXpy/jce/3oi/+UmC08bMIwdy7PAcHvlyI398eyVrd5fy59NH1TkJ8ddShzrJqnZ7ECQwYXjFjmKufmYhu4qrOHxwJr883jcPI7kdJ1CFoyXZvZYa3883GW15/oE6Qbp/4mhDx1VOG7cinbOhEPBdJWwNm03442kj+ckT8/jPN5vC7rXeGiVVLh74dD1Pz9lCVko8z/30UHqk+QLI234U3nyGI4dk8/BPJnDtc4s4/J7POXpoNscMz+GIwVm4PF72lVUzqnc6cQ4b6/eUctF/5lFc6eLMcX04dWwvDhuY2a4n4+1pUHYKT1w6ie827OOXLy/lrEe+498XTwyc1ICvlOea5xZRVuXm2aumNBmg1zeyd1qd8sTjR+Tw3++28NMjBza7nM3dQJ908JWStVUmfc7GfaQnOhkXwasi3ZLjuG76IO7+cE1gflFr3PfxWtbtKWP2FZNbXF7Uni6Z2p/Hv97E7DlbyO2WyOS87vTplsjOA5X06ZZIktMeVdn/YBqkR5GMQCa9JDDDe+rATGbP2cK9H6/liW82cdKoHjx60cSIZN/qO3diLi8v2M59/1vLj8b0anBS4PzNRbz7w05+ftwQcrs1vy9vYpydJy+bxE+emMdjX21icl43HvrJhBbVnvZIS2BgVjJzNxVy9VG1GX23t+mlgPOykgNBRVsoq3bz4fLdnDm+T5tl/o4f0YMBWck8/vUmTh3Tq03faP791Ub+/tEaHDYbPxrTiysPH8AhuW2TdXbabYHsV2mVi/V7yyitcjOub0bgZHVyXnf+/vFa/v3VRsqq3fzz/HHYBB75ciMPfLYeYwyDc1LplZ5AotNORpKTgtJqvl5fAMBZ43MZ1iOFv3+8loxEJ2/8bBoT+rVN54TOpnd6ApnJcQetgFrbijT0cZDbPalNryZ9v6mQAVnJzQ6+Qpk2KIsZo3ry8BcbOXdi3zZ5zFA8XsNri7Zz78drKSyv4cLJffnNicNavODVCSN78O4NRzB7zma+WFvA+8vr9nzvk5HIhZP78vTcrdgE3r3xCIZGSY1vWzh8cBbv3XgEl/93AT99eiGPXjyB40b0YG9JFb94aSlLtx/g0YsmMLxn68swbjh2CGc+/B3Pzt3a7EnGLo9puNwlru1q0hdu2c/kvG4R/0y/7LA8nvx2M/d+tJaXr5na4s+OzfvK+e+cLfx4Sr9Wn3y3l+R4B3eeOZoHPl3Pb04ahs0m9ExPZJdVGhutpS6gQXpUCT4D9bcWmz4sm+7JcTz29SaG9UjlH+c33vmkPYkIfzptFKc//C3/9/mGkC3d3B4vd7yzkl7pCVx7dHhlLqFkpsTz/s+PYHdJFb3TE1v1nMf1y+C7DXVX6mxspUW/AZnJvLF4B5U1njY5iD9YtotKl6fFE+ZCsduEnx45gNveXMH3m4o4bFDbTDx6Y3E+d3+4hh8d0os7Th/Vrj1vUxOcIYNnm02sDjEO7v14LV7j697z3++2MGNUT/Kyklm9q4S9pVVU1ngoKq8hJcHBuRNzqXF7eX1xPjVuL+P7ZfDYxRPJSWufIK4zEBFG90lnWX7dIL2xiaMAQ3NSeHZTIR6vafUETbfHy/zNRW26EuGtp4zg8zV7uffjtfzj/LGtfrxqt4e9JdX0zkjEbhO+Xb+PO99fxZrdpUzol8F/L5/SJieqI3un8fdzx+L1GlbtKmHe5iKS4uwkxdl56tvN/OOTdfTJSOTpKyczOKfrBOh+PdISePHqQ7n0qflc+9wizhjXx7cAk8fLP84b2+p2jX7j+mZw1NBs/vPNJi6b1r9ZV69cXm+Dx0VSvIPiytaveltQWs2mfeUdUiKSGGfn58cO5va3V/L+8l2cOqZlx+VDn63HaZcGW8xGi1MO6cUph9T+XfVOT2DVzhIGZCVH7aRR0CA9qvgziAB9u/uC9ASnnaevmMK7y3ZydQsu2bW1Q3LTOXdCLk99t5kLp/Q7qNvL499sYtWuEh65aEKrL+c77LYWZeLrG94zlTcW76CovCYwEdFf7uJsZJUxfweNLYXlbTK55rVF+QzMTmZ8A108WuqcCbn865N13P3hal6/blqrL4f/sP0AN7+xnMMGZnL/hePapYVcc1x/zGCMMYEJYZce1p87ThvV5Inb72cMZ1dxFSN7pXXYiW00GdErjTkb99WZPBqYOBqiTzrAkB4pVLu95O+vqDNBuyVW7iyhtNrdZieS4Jvg7SuJ28S1Rw9kSCsyzj9sP8CNLy5hW1EFGUlOeqUnsnpXCbndEnnox+Pb/EoV+E5ER/dJr1OKd/rY3uwqriIrJT5qV0FsCxlJcTz300O5/vnFvL10B0cPzeHmk4fXWUOjLfziuMGc8+hc/vvdFq4/ZnBY+/gWAmz4uEiOs7OrDVYSXrilCIDJLVxhtLUumNyP5+dt44YXlvDi/G3cPGNEs05CN+wt462lO7j6yIEdsnhRa/RKT2RfWTXFlS4SI1h62Fxd9x2gE8oImkTUNyg4PSQ3nVtPGRE1B8FvZwwjzm7jly8toSioV/l7y3byj/+t4+TRPeucsXY0/2XT4JXHaru7NHwI9OnmO1HaVdz6N+O9JVUs2FrEmeP6tPkHfYLTzp9OG8UP+cXc+OISdoTx4WFM6NVotxVWcPUzC8lJjefhiyZ0eIDud8OxQ3jh6kN54epD+fPpTQfo4LsaM7pPugboloHZybg8ps7fh39Rr4bmZvizuOv3tH414O83+UrHprZxQHLt0YNIinPwz0/WNXlfr9fw7fp9zN9cFKjHr3J5eOTLDZzz6BzcHi+3nTKCY4fnkBJv54+njuTTm47mtLG9I1azKiL0zgi9CFtXk5bg5NmrDmXdnSfzn8smtXmADr41A2aM6skDn61nw97SsPYJzHlxhH7Nk+MdlLVBucuCLftJcNoY3Y7dpRoT57Dx+nXT+P2M4azdXcalT81r1ufdg5+tJ8FpZ+ZRLb9q3lF6ZfiurG7eV66ZdBWe4Drlft1bn0FuLzmpCdx/4Xiuf2Exx/3jS04b25uthRV8ta6ACf0yuPe81l92bkvDe/kCjbW7SwMTSd1hTBztZdW47ipufQu6T1bvwRjabQb/aWN7s6u4kr9/tJZPVu3hx1P68cfTRoYMsr9aV8BNLy/F4JtnMDmvO6t3lbBw637mby4kwWnnuZ8e2ubtD1vL/9qplhloXRnaVFAeyIo3VfY1pIcvaFq/tywwYbil5mwsZFB2cpuXHXVPjuOnRw7g/k/X89qifM6d2HA52R/fWcFz328DfAu9DMpOZuXOEsqq3cwY1ZO7zzkkKie+dXXtfQL01zNHM+9fX/GLl5by+nVNr2odCNIbSOJkJDo5UNH6cpdl+QcYbU0U7ijJ8Q6umz6IE0f14EcPfsOf31nFvy+Z2OR+6/aU8u6ynVx79KAWz8/oSL2tVtLbiioCixdGo65/qt7J+BcBGN1GE/Taywkje/Dmz6Yxvl83Xl2Yz9rdpfz2pGG8NPOwDi/JqS87JZ6UeEednuc1jXQHCd7PJr42aK31v5V76J+ZxNAebZ8p8pt51CC++t0xXDilL89+v5UbXlgcOBkB3yXcf3+1kSv+O59uyXFM6t+NJ7/dzNXPLORfn65jT3EV50/qy1s/O7xLTVRTPv7StE1BHYsa65IDvkxnTmo8mwpal0mvcXtZsKWIwwe3z4nWddMHMXVgd37z6g/84qUl7Ck5+JhdtbOE577fxk8O7cfDP5nAoQO64/J4OX1cb164+lD+fclEDdC7qOzUeO49dywrd5bwh7dW4PUaqlyeOleCgwVOXhtI4mQkOal0eQJLyreEx5qPEIkWsOEYlJ3CjccO4aOVu/lqXUGT97//03UkOe3MDLPFcrTxZ9IBUhOiK2YJFr0ji1FPXTGZwrLqg5axj0ajeqfz1OWTMcZEbfsi8GVpcrslkr+/9jKeq4kJc+Cric9JTWh1Jr2kysWcjfu44vD2XawCfBOO7zzzEAZmpfCX91bxu9eWcfq43ny+Zi+frNrDruIqTjmkJ/eeO5bkeAd7SqrI31/B4JzUOnMiVNfTPTmO9ERnnYA7nJPVQdkpbGxlkL4s/wAVNR6mtWE9erB4h51nrjyU//tiA//+ciOfrNrDz48bwswja1vTPvrVRlLiHfz+pOGkJzn50ZjoKclT7e/4kT34+XFDePCz9czdWEhBaTUur5ffnjSMn02vW6ve1IrU/pO54kpXizt1bd5XRkWNh0OiJEgH+OmRA3htUT53vLOSj355JPGO0M9t0dYiPli+m18cNySqV7xtTK+gblDdovjkXIP0KNMnIzHQ2aWziOYA3c8XpAdl0t2+N+FwFkZqbSb9y7UFuDyGE1tZLtAcVx4xgOJKFw98tp43luwg3mHj6KHZ/Om0kZw0qmfgNeuRlhDo9ay6Nv/J6s6gmnT/cRDfyOX2QTnJvPvDrladjH+3oRARX0vZ9hLnsHHTCUM5Z0If/vreau7+cA3L8g/wrwvGsetAFe8v28nVRw1scgEh1XX96vgh5HZL5H8r93DKIUlsLCjnvo/XcsKIHnUmHfsz6XENJHH8Qd2BCleL3z9X7PDNkYqWTDr4Tnb/dNpILv/vAu54ZyV/+NHIg9aTMMZw5/uryUmN55pWdHDraElxDtISHJRUuTVIV6qj5XZLYt6mokCgUe32XaZsapWxXukJrNsT3mSjhny8cjdZKXGBBWUi5VcnDOXEUT0oLKthUl63iC6eo6JTr/TQJ6uN1cQOyk6huNJFYXkNWS2sPZ2zcR+jeqdFpJykf2YyT1w6kSe/3cyd76+mpHIhdpvgsNu46ogB7f77VfQSEc6f1JfzJ/laHhaV1zD1rs94acF2bj+1dkGqwPoBDdWkWyd6+ytCl8uEY8WOYhKcNgZlt65rUlubPiyH66YP4tEvN/Li/O10S3IyOCeFSw/L49QxvXhu3jaWbDvA388Z0+k/U/xXSnLSoremvnP/DysVptxuiZRWuympdJOe5KzNIDobD9J7pCXwzfp9jd6nMVUuD1+s2csZ43q3us90S4zqoK4BKjr1Sk9ggdX2DcIL0v1X9nYeqGxRkF5Z42HJtgNccXhes/dtKRHhp0cOJC3Rye9fX4YxvpacOal61UjV6p4cx1FDs/loxe56QXrTNekAB1oRpC/fUcyIXmlRuYLs72cM5/gROXy3oZA9JVXM21zEjS8u4V+frmNrYQVHDc1udIJ2Z5GXmURReQ2Ds9tvrlhrdUiQLiLnAXcAI4ApxpiFQbfdAlwFeICfG2M+trZPBGYDicAHwC+MMUZE4oFngIlAIXCBMWaLtc9lwB+sh77TGPN0uz85FZX8gcb2/RWkJ6VT7Q9OmniDzEqJo6zaTZXL06Lawy/XFlBR44mqlpQqdvVMT6C40kVFjZukOAc1Hi8ijS/q5V/Jc09JdYt+58KtRdR4vG3aHz1c50/qyyF90qmocTOxf8f0olbR7YjBmXy6eg/5+ysC63I0tSK1/2Rvb2nLjgmv17BqZwlnju/Tov0jYWL/7oFjxus1vLFkBy/M28qkCX24/dSRXaK17V1nH8IHy3YxpYP61IejozLpK4CzgceCN4rISOBCYBTQG/hURIYaYzzAo8BM4Ht8QfoM4EN8Af1+Y8xgEbkQuAe4QES6A38CJgEGWCQi7xhj9kfiCaro4m/7VlDme1P1l7vENxF4+1tLFZXX0LsFcwU+WL6LbknOdq3FVSpcvTNq24oOyk6hxu0lzm5rtNa8p3Xs7A7RMSUc320oxGGTDvsgbIuFyFTX5V9IaNHW/bVBehOtSTOT44hz2Nixv2VraGwrqqC02s3oPp3jb9NmE86dmNslsufBhvdMC6yjEq065DqLMWa1MWZtiJvOAF4yxlQbYzYDG4ApItILSDPGzDW+FVieAc4M2sefIX8NOE58nzgnAZ8YY4qswPwTfIG9ikE51kJQBVbmI5wJc+B7MwYoLGv+Zc2SKhf/W7Wbkw/pFTWLAqnY1jPNd6Lpnwxd7fY22aM5MyUeu03Y08IJ1HM37mN8v4xOX7+quqYhOak47cKa3bVzj6qbKAOz2YTe6QlhLRwXyvIdxYCWI6qmRVvk0AfYHvRzvrWtj/V9/e119jHGuIFiILORxzqIiMwUkYUisrCgoOn+oKrz8dfS+oP0anfTl/mhNpO+r7z5lzXfX7aLKpeX87pY9kF1Xv7SFX+QXuPxNnmiarcJOanxLcqkF1e6WL6jmMN0ISoVpeIcNgZlp7B6V+2K1IErrQ20IATfitQ7Wxikr9hZTJzdputRqCa1W5AuIp+KyIoQX2c0tluIbaaR7S3dp+5GYx43xkwyxkzKzs5uZHiqs0qMs5Ma72BfWW2QHu9o/DI/+GrSoWWZ9NcW5TM4J4VxfTOava9S7SHT+nv2L+LiL3dpSo+0hJALBDVlweYivAYO03IvFcWG9Ehlc9AiX9VhNBbonZ7IzgMtu7q0ckcJQ3umdOhKo6pzaLe/EGPM8caY0SG+3m5kt3ygb9DPucBOa3tuiO119hERB5AOFDXyWCpGZafG1yl3aSxL4ldbk968TPr2ogoWbd3PORNyO0UfeRUbUuMdxNltFAYH6WEECj3S4lu0XsCCLUU47cL4fhnN3lepSOlrZcU9Xl8er9rVdDlkn26J7CmtCpROhssYw/IdxRzSJ6PF41WxI9pO494BLhSReBEZAAwB5htjdgGlIjLVqje/FHg7aJ/LrO/PBT636tY/Bk4UkW4i0g040dqmYlRWUJBe7faEFZwkx9mJd9ianUn/flMhAMcOz2n+QJVqJyJCZkochWW1J6vhHAdZKfGBwL45FmwpYkxuRotXZVQqEvp2T8LlMYGSLv9KvI0lcvp2S8IYml2Xvr2okuJKV1StNKqiV4cE6SJylojkA4cB74vIxwDGmJXAK8Aq4CPgequzC8B1wH/wTSbdiK+zC8CTQKaIbABuAm62HqsI+CuwwPr6i7VNxajs1Pja7i6upmtxwQpqkuPY18wgff7mIjKSnAzJid7+qyo2dU+Oq82ke8IP0vdX1OD2hJ81rHJ5WL6jmEl5kV3ES6nm6mt1ddle5Fvoq9rlr0lv+NjIy/LtsyWoTCYc/kmjGqSrcHTIdHtjzJvAmw3cNguYFWL7QmB0iO1VwHkNPNZTwFOtGqzqMrJT4vnan0kPMzgBX8lLYTPLXeZvKWJyXvcu0UtWdS2ZKfF1M+lh1KRnpcZjDBRV1IS9INCSbQdweQxT8qK3B7FS4FvsDnxB+tSBmWHVpPfP9K0UuqWweUH6sh0HfJNGe2oCRzUt2spdlGo3mclxlFa5qXF7rUx6eJfgfeUB4WfS95RUsbWwgkOjeIEEFbuygjPp4Za7WK1I95WGfxws3uZbkmJif82kq+jWOyMREci3+p4HgvRGPiMyk+NIjXewtbCiWb9rxY5ihvVMDfvzR8U2DdJVzAhemKja7Qmr3AUgM7k28xiO+Zt9VVXRvIqZil3dk2tPOn1XlJoOFrKsdQb2NeM4WLr9AAOzkslIimvZQJWKkDiHjczk+MAKorUtGBv+jBAR+mcl1ekK0xRjDMvzixmtpS4qTBqkq5jhbz+3r6w67Awi+Now7iuvwTcfuWnzNxeRHGdnpK50qKJQZko8lS4PFTVuq8tR08dBYFGvMMu+jDEs3X6Asdp+VHUSvu5f1iJfVneXpkrB+mcms7UZ5S7biiooqXIzJleDdBUeDdJVzAj0PC+vodLlITHMjhOZKXHUuL2UVbvDuv/8zUVMzOuOQ1cZVVEoM6j3f02YXY4CmfQwy112l1RRUFrNWA1GVCeRU6f7l2+uRlNzigZkJrN9fyWuMCdU66RR1VwaRaiYkZnsCzQKy6opq3aTEh/evGn/fkVhtKDbX17D2j2lWo+uolZtVryGKpc3rJNVf3/1cFfeXbrtAADj+mk9uuocslPrlruEc4Wpf2YSHq9hx/7w2jAuz9eVRlXzaJCuYkZwBrG82k1yfPiZdCCsNowLtmg9uopu/rkZ+0qrKa9xkxzX9HEgIr6yrzAz6UvzD+C0CyN6aTCiOoec1Hj2lVXj9RrfitSNdHbx69fd14ZxW1F4k0eX7yhmeK9UXWlUhU3/UlTMSIl3EOfwZQPLqz0kh5lJz0oJf9Lc/M1FxDlsWnOoopY/k15UXkNFtYekcK8oNaMV6Q/bDzCyV5p2sFCdRnZqPC6P4UClK+wVqXtn+Fo3+hdBaox/pVGdNKqaQ4N0FTNEhKxkXzawvCb8cpdsqx7XX6/YmHmbixjfN0ODExW1/FeGdpdUUePxhpVJB2sCdRgnqh6vr4OFThpVnYm////e0ipfJj2MbHdOmu+zYXdx00H6tqIKSqvcWo+umkWDdBVTMlPi2b6/AmMIO5OemRyHCIF6xYbsL69hxc5iDh+c1RZDVapdJMU5SIqzBy7RJ8U1I5MeRsnXhr1llNd4GKdBuupEgpMxlTXhTaiOd9jJSoljVxhB+oodJQCM7q1BugqfBukqpmSmxLHNWnwi3CDdYff10PW352rInI2FGIMG6SrqdU+OCwTp4V5RyrKC9KZakf6w/QCAZtJVp5JjBel7S6opr3aTmhDecdEzPYHdxU1PHF2xsxiHTXSlUdUsGqSrmJKZHB+oH0wJc+Io+N7A95Q0nkn/dsM+UuId2nZORb3MlHi2+zPpYR4HWSlx1Hi8lFQ23op0af4BUhMcDLCWTVeqM/Bn0veWNq/7V8+0xLAy6St3ljCkh640qppHg3QVU/y90gGSw7zMD9AjLZ69TWTSv9uwj6kDM7U/uop6Wcm1l+jDPQ4CE6ibmDy6dNsBxvXNaLLHtFLRJDneQUq8g72lVb4gPcEZ1n690hOanDhqjGHljmJG99YF7lTzaDShYkpmUJCeGuabMPgmFe1tJJO+rbCCbUUVHD44s1XjUyoSgo+DpDAnjgZakTYyN6OyxsPaPaWMzc1o1fiU6gg5Vq/00ip32Fdae6YncKDCRWWNp8H77CmpprC8Rju7qGbTIF3FFH9fW6i9vBmOnDRfD12PN3Q97ncb9wFw5BCtR1fRz98rHcKfm+HPpBc2sqjXyp3FeLxG69FVp5SdGs/ekirKm1Hu0ivd1xVmVyN16SuslUZHaSZdNZMG6SqmDM6pXVzF3z4rHDmp8XiNb7XSUL7dsI8eafEMytZJQSr65XZLDHzfLTmukXvWql3Uq+FM+tLApFHNGKrOp0daAjsPVFHp8pASH96V1p5WkN5YycvKnSWIwIheGqSr5tEgXcWU/pm1mfS05pS7pPl76B4coHi9hjkb9nHE4GxEtA5XRb/gSZ3ZKeGdrHZP8rUibWzl3aXbD9AnIzHQc1qpziQnNZ4dB3wZ8ZRwu7tYnw17GgnSV+wsZkBWcthXrZTy078YFVOcdhuPXzIRZzOXZe5hvRHvPFB5UF3hql0l7K9wccQQrUdXnUNeVm2QHu4S5Q67je5JjS9o9EP+Ac2iq07L/z4P4Xf/6hkod2k4SF+1s4QJ/bu1bnAqJmmQrmLOiaN6Nnsff+Zx877yg277doOvHv3wQVqPrjqHXukJHDkki2E9Upu+c5DMlLgGJ44WllWzvaiSiw/t3xZDVCrigksg0xPDKwNLinOQnuhscNXRAxU17DhQySWH6XGhmk+DdKXCkJ7kJCsljk0FBwfp323Yx9AeKYGSGKWinYjw7FWHNnu/rJT4BieOLsv3TY7TSaOqsxoSNGfJnyEPR8+0hAaD9FU7fSuN6qRR1RIdUpMuIueJyEoR8YrIpKDtJ4jIIhFZbv17bNBtE63tG0TkQbGKf0UkXkRetrbPE5G8oH0uE5H11tdlEX2SqssZmJXCxoKyOtsqazzM21zEEYOzO2hUSkVOZkp8g+UuS7btxyZwiLaZU53UoJzaMrA+GYmN3LOuno30Sl+1yxekj9RJo6oFOmri6ArgbODretv3AacZYw4BLgOeDbrtUWAmMMT6mmFtvwrYb4wZDPwLuAdARLoDfwIOBaYAfxIRLQpTLTYoJ5mNBWV1lkX/flMhNW4v04dpkK66vqyUOAobmDi6cOt+RvRK08lxqtOKd9g5Zlg2Y3PTm9Wit2daQoM16at2ltAzLaFO21OlwtUhQboxZrUxZm2I7UuMMTutH1cCCVamvBeQZoyZa3wR0jPAmdb9zgCetr5/DTjOyrKfBHxijCkyxuwHPqE2sFeq2Ub2SmN/hYtt1nLqAP9btZtEp50pA7p34MiUioyslHjKqt1Uueou3OL2eFm6/QCTdHKc6uT+e8UU3rr+8Gbt0zM9gX1l1bg83oNuW7mzhJFa6qJaKJpbMJ4DLDHGVAN9gPyg2/KtbVj/bgcwxriBYiAzeHuIfeoQkZkislBEFhYUFLTpk1Bdx7TBvomhX6zZC/gmyr37wy5OOaQXCc7wOgEo1ZllNdArfc3uUipqPEzM05NV1fk1t5Vuz/QEjDm4RW95tZsNBWVaj65arN2uS4rIp0CoNhq3GWPebmLfUfjKVk70bwpxN9PEbY3tU3ejMY8DjwNMmjQp9JKSKuYNzEpmTG4693+2noVb97Nk2wGqXB6umz6wo4emVET4+5/vKakit1vtmgPfbyoE0Ey6ikmBBY2Kq+rUsi/ZdgCP1zBJT15VC7VbJt0Yc7wxZnSIr6YC9FzgTeBSY8xGa3M+kBt0t1xgZ9Btfa19HUA6UBS8PcQ+SjWbiHD32WPo2y2J5TuKGZSTwhOXTqqziqlSXdkAq7/6xnpdjj5dvYfhPVPp3YzJdkp1Ff4FjXYVV9bZPn9LETaBCf0yOmBUqiuIqhk+IpIBvA/cYoz5zr/dGLNLREpFZCowD7gUeMi6+R18k0znAucCnxtjjIh8DNwVNFn0ROCWyDwT1VWN7J3Guzce0dHDUKpD5HZLJM5uq9PlqLCsmgVb9nPt0XpFScWmvt19V5WC5ysBzNmwj1G900ltxurWSgXrqBaMZ4lIPnAY8L4VUAPcAAwGbheRpdZXjnXbdcB/gA3ARuBDa/uTQKaIbABuAm4GMMYUAX8FFlhff7G2KaWUagGH3UZeVhIb99Zm0l9blI/HazhjXMgpP0p1eSnxDnJS49kcdIVpX1k1i7bt59jhOY3sqVTjOiSTbox5E19JS/3tdwJ3NrDPQmB0iO1VwHkN7PMU8FSrBquUUipgUHYKa3aXAr51AmbP2cKUAd0Z2szVS5XqSgZkJddZkfqTVXswBk4Y2aMDR6U6u2ju7qKUUirKjO6TzuZ95RSUVvP415vYVVzFb04c1tHDUqpDDcyuG6S/tGA7Q3JStLOLahUN0pVSSoXtqCG+hbse/mIDj361gVMO6anrBKiYNyArmcLyGorKa1i5s5gfth/gx1P6Nbudo1LBomriqFJKqeg2uk8aY3PTmT1nC1kpcdxx2qiOHpJSHW5MbgYAi7fu57M1e4lz2Dh7gs7TUK2jQbpSSqmwiQj/95MJvLF4B6eP602O1X5OqVg2rm8GcXYbLy/czldrCzhvUi4ZSXEdPSzVyWmQrpRSqln6dk/iF8cP6ehhKBU1Epx2fjSmF28u2UGC08a1Rw/q6CGpLkCDdKWUUkqpVrr55OEkOO2cOKpHoHe6Uq2hQbpSSimlVCv1SEvgb2cf0tHDUF2IdndRSimllFIqymiQrpRSSimlVJTRIF0ppZRSSqkoo0G6UkoppZRSUUaDdKWUUkoppaKMBulKKaWUUkpFGQ3SlVJKKaWUijIapCullFJKKRVlxBjT0WOIKiJSAGztoF+fBezroN+t2o++rl2XvrZdk76uXZO+rl1XZ35t+xtjskPdoEF6FBGRhcaYSR09DtW29HXtuvS17Zr0de2a9HXturrqa6vlLkoppZRSSkUZDdKVUkoppZSKMhqkR5fHO3oAql3o69p16WvbNenr2jXp69p1dcnXVmvSlVJKKaWUijKaSVdKKaWUUirKaJCulFJKKaVUlNEgvQOIyAwRWSsiG0Tk5hC3i4g8aN2+TEQmdMQ4VfOE8bpOF5FiEVlqff2xI8apmkdEnhKRvSKyooHb9XjthMJ4XfV47YREpK+IfCEiq0VkpYj8IsR99JjthMJ8bbvUcevo6AHEGhGxAw8DJwD5wAIReccYsyrobicDQ6yvQ4FHrX9VlArzdQX4xhhzasQHqFpjNvB/wDMN3K7Ha+c0m8ZfV9DjtTNyA782xiwWkVRgkYh8op+xXUI4ry10oeNWM+mRNwXYYIzZZIypAV4Czqh3nzOAZ4zP90CGiPSK9EBVs4TzuqpOyBjzNVDUyF30eO2EwnhdVSdkjNlljFlsfV8KrAb61LubHrOdUJivbZeiQXrk9QG2B/2cz8F/ZOHcR0WXcF+zw0TkBxH5UERGRWZoqp3p8dp16fHaiYlIHjAemFfvJj1mO7lGXlvoQsetlrtEnoTYVr8PZjj3UdElnNdsMdDfGFMmIqcAb+G73Ko6Nz1euyY9XjsxEUkBXgd+aYwpqX9ziF30mO0kmnhtu9Rxq5n0yMsH+gb9nAvsbMF9VHRp8jUzxpQYY8qs7z8AnCKSFbkhqnaix2sXpMdr5yUiTnxB3PPGmDdC3EWP2U6qqde2qx23GqRH3gJgiIgMEJE44ELgnXr3eQe41JqBPhUoNsbsivRAVbM0+bqKSE8REev7KfiOv8KIj1S1NT1euyA9Xjsn6zV7ElhtjPlnA3fTY7YTCue17WrHrZa7RJgxxi0iNwAfA3bgKWPMShG51rr938AHwCnABqACuKKjxqvCE+brei5wnYi4gUrgQqNL/kY9EXkRmA5kiUg+8CfACXq8dmZhvK56vHZOhwOXAMtFZKm17VagH+gx28mF89p2qeNWOvHYlVJKKaWU6pK03EUppZRSSqkoo0G6UkoppZRSUUaDdKWUUkoppaKMBulKKaWUUkpFGQ3SlVJKKaWUijIapCulVIwTkbNEZGm9L6+InNzRY1NKqVilLRiVUkrVISIzgYuAY4wx3o4ej1JKxSLNpCullAoQkaHAH/EtGpIkIp+JyGIRWS4iZ1j3yRORNSLyHxFZISLPi8jxIvKdiKy3VvpDRKaIyBwRWWL9O8zafrmIvCEiH1n3/3uHPWGllIpSmklXSikFgIg4gbnAfcaYl0TEASQZY0pEJAv4HhgC9Me3WuN4YCWwAPgBuAo4HbjCGHOmiKQBFdaKvMcD1xljzhGRy/GdCIwHqoG1wBHGmO2RfL5KKRXNHB09AKWUUlHjr8BKY8xL1s8C3CUiRwFeoA/Qw7ptszFmOYCIrAQ+M8YYEVkO5Fn3SQeeFpEhgAGcQb/rM2NMsbX/KnyBvwbpSill0SBdKaUUIjIdOAeYELT5IiAbmGiMcYnIFiDBuq066H7eoJ+91H62/BX4whhzlojkAV8G7RO8vwf9PFJKqTr0TVEppWKciHQD/gv8xBhTGnRTOrDXCtCPwZftbo50YIf1/eWtHqhSSsUQnTiqlFLqWiAHeDS4DSOwG5gkIgvxZdXXNPNx/w78TUS+A+xtOWCllOrqdOKoUkoppZRSUUYz6UoppZRSSkUZDdKVUkoppZSKMhqkK6WUUkopFWU0SFdKKaWUUirKaJCulFJKKaVUlNEgXSmllFJKqSijQbpSSimllFJR5v8BznL/chz21MYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.signal import find_peaks\n",
    "\n",
    "# Tepe noktalarını bulma\n",
    "peaks, _ = find_peaks(filtrelenmis_sinyal, distance=700)\n",
    "\n",
    "# Orijinal sinyali görselleştirme\n",
    "plt.figure(figsize=(12, 4))\n",
    "plt.plot(times, filtrelenmis_sinyal)\n",
    "plt.title(\"R Tepe Değerleri)\")\n",
    "plt.xlabel(\"Zaman\")\n",
    "plt.ylabel(\"Genlik\")\n",
    "\n",
    "# Tepe noktalarını işaretlemek için scatter plot kullanma\n",
    "plt.scatter(times[peaks], filtrelenmis_sinyal[peaks], color='red', label='Tepe Noktaları')\n",
    "\n",
    "plt.legend()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "34605d93",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Genlik spektrumunu hesaplama\n",
    "genlik_spektrumu = np.abs(np.fft.fft(data))\n",
    "genlik_spektrumu = genlik_spektrumu[:len(genlik_spektrumu)//2]  # Yalnızca pozitif frekanslar\n",
    "\n",
    "# Genlik spektrumunu normalize etme\n",
    "genlik_spektrumu = genlik_spektrumu / np.max(genlik_spektrumu)\n",
    "\n",
    "# Faz spektrumunu hesaplama\n",
    "faz_spektrumu = np.angle(np.fft.fft(data))\n",
    "faz_spektrumu = faz_spektrumu[:len(faz_spektrumu)//2]  # Yalnızca pozitif frekanslar\n",
    "\n",
    "# Faz spektrumunu normalize etme\n",
    "faz_spektrumu = (faz_spektrumu + np.pi) / (2 * np.pi)\n",
    "\n",
    "# Genlik spektrumunu çizdirme\n",
    "frekanslar = np.fft.fftfreq(len(data), d=1/sampleRate)\n",
    "frekanslar = frekanslar[:len(frekanslar)//2]  # Yalnızca pozitif frekanslar\n",
    "\n",
    "plt.figure(figsize=(12, 4))\n",
    "plt.plot(frekanslar, genlik_spektrumu)\n",
    "plt.title(\"Genlik Spektrumu\")\n",
    "plt.xlabel(\"Frekans (Hz)\")\n",
    "plt.ylabel(\"Normalized Genlik\")\n",
    "plt.show()\n",
    "\n",
    "# Faz spektrumunu çizdirme\n",
    "plt.figure(figsize=(12, 4))\n",
    "plt.plot(frekanslar, faz_spektrumu)\n",
    "plt.title(\"Faz Spektrumu\")\n",
    "plt.xlabel(\"Frekans (Hz)\")\n",
    "plt.ylabel(\"Normalized Faz\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "772f7a19",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Orijinal sinyalin genlik spektrumu\n",
    "orijinal_genlik_spektrumu = np.abs(np.fft.fft(data))\n",
    "orijinal_genlik_spektrumu = orijinal_genlik_spektrumu[:len(orijinal_genlik_spektrumu)//2]  # Yalnızca pozitif frekanslar\n",
    "\n",
    "# Filtrelenmiş sinyalin genlik spektrumu\n",
    "filtrelenmis_genlik_spektrumu = np.abs(np.fft.fft(filtrelenmis_sinyal))\n",
    "filtrelenmis_genlik_spektrumu = filtrelenmis_genlik_spektrumu[:len(filtrelenmis_genlik_spektrumu)//2]  # Yalnızca pozitif frekanslar\n",
    "\n",
    "# Frekanslar\n",
    "frekanslar = np.fft.fftfreq(len(data), d=1/sampleRate)\n",
    "frekanslar = frekanslar[:len(frekanslar)//2]  # Yalnızca pozitif frekanslar\n",
    "\n",
    "# Genlik spektrumlarını üst üste çizdirme\n",
    "plt.figure(figsize=(12, 4))\n",
    "plt.plot(frekanslar, orijinal_genlik_spektrumu, label=\"Orijinal Sinyal\")\n",
    "plt.plot(frekanslar, filtrelenmis_genlik_spektrumu, label=\"Filtrelenmiş Sinyal\")\n",
    "plt.title(\"Orijinal ve Filtrelenmiş Sinyallerin Genlik Spektrumu\")\n",
    "plt.xlabel(\"Frekans (Hz)\")\n",
    "plt.ylabel(\"Genlik\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "96a54547",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Orijinal sinyalin genlik spektrumu\n",
    "orijinal_genlik_spektrumu = np.abs(np.fft.fft(data))\n",
    "orijinal_genlik_spektrumu = orijinal_genlik_spektrumu[:len(orijinal_genlik_spektrumu)//2]  # Yalnızca pozitif frekanslar\n",
    "orijinal_genlik_spektrumu = 20 * np.log10(orijinal_genlik_spektrumu)  # Genlikleri logaritmik ölçekte\n",
    "\n",
    "# Filtrelenmiş sinyalin genlik spektrumu\n",
    "filtrelenmis_genlik_spektrumu = np.abs(np.fft.fft(filtrelenmis_sinyal))\n",
    "filtrelenmis_genlik_spektrumu = filtrelenmis_genlik_spektrumu[:len(filtrelenmis_genlik_spektrumu)//2]  # Yalnızca pozitif frekanslar\n",
    "filtrelenmis_genlik_spektrumu = 20 * np.log10(filtrelenmis_genlik_spektrumu)  # Genlikleri logaritmik ölçekte\n",
    "\n",
    "# Frekanslar\n",
    "frekanslar = np.fft.fftfreq(len(data), d=1/sampleRate)\n",
    "frekanslar = frekanslar[:len(frekanslar)//2]  # Yalnızca pozitif frekanslar\n",
    "\n",
    "# Genlik spektrumlarını çizdirme\n",
    "plt.figure(figsize=(12, 4))\n",
    "plt.plot(frekanslar, orijinal_genlik_spektrumu, label=\"Orijinal Sinyal\")\n",
    "plt.plot(frekanslar, filtrelenmis_genlik_spektrumu, label=\"Filtrelenmiş Sinyal\")\n",
    "plt.title(\"Orijinal ve Filtrelenmiş Sinyallerin Genlik Spektrumu (Logaritmik Ölçek)\")\n",
    "plt.xlabel(\"Frekans (Hz)\")\n",
    "plt.ylabel(\"Genlik (dB)\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "bac5be1b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#IIR Filtre tasarımı\n",
    "from scipy.signal import butter, filtfilt\n",
    "\n",
    "# Filtre tasarımı için parametreler\n",
    "cutoff_freq = 50  # Kesim frekansı (Hz)\n",
    "filter_order = 4  # Filtre sırası\n",
    "\n",
    "# IIR filtresini tasarlama\n",
    "b, a = butter(filter_order, cutoff_freq, fs=sampleRate, btype='low', analog=False, output='ba')\n",
    "\n",
    "# Filtrelenmiş sinyali elde etme\n",
    "iir_filtrelenmis_sinyal = filtfilt(b, a, data)\n",
    "\n",
    "# Orijinal ve filtrelenmiş sinyalleri çizdirme\n",
    "plt.figure(figsize=(12, 4))\n",
    "plt.plot(times, data, label='Orijinal Sinyal')\n",
    "plt.plot(times, iir_filtrelenmis_sinyal, label='Filtrelenmiş Sinyal')\n",
    "plt.title('IIR Filtresi ile Düşük Geçiren Filtre Uygulaması')\n",
    "plt.xlabel('Zaman (s)')\n",
    "plt.ylabel('Genlik')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c68dec8b",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
